Todorcevic, Stevo
Overview
Works:  44 works in 177 publications in 2 languages and 6,012 library holdings 

Roles:  Author, Editor, Creator, Thesis advisor 
Publication Timeline
.
Most widely held works by
Stevo Todorcevic
Introduction to Ramsey spaces by
Stevo Todorcevic(
)
15 editions published in 2010 in English and held by 1,797 WorldCat member libraries worldwide
To mark the continued success of the series, all books are again available in paperback. For a complete list of titles, please visit the Princeton University Press Web site: press princeton. edu. Book Jacket
15 editions published in 2010 in English and held by 1,797 WorldCat member libraries worldwide
To mark the continued success of the series, all books are again available in paperback. For a complete list of titles, please visit the Princeton University Press Web site: press princeton. edu. Book Jacket
Notes on forcing axioms by
Stevo Todorcevic(
)
13 editions published between 2013 and 2014 in English and Undetermined and held by 1,605 WorldCat member libraries worldwide
In the mathematical practice, the Baire category method is a tool for establishing the existence of a rich array of generic structures. However, in mathematics, the Baire category method is also behind a number of fundamental results such as the open mapping theorem or the BanachSteinhaus boundedness principle. This volume brings the Baire category method to another level of sophistication via the internal version of the settheoretic forcing technique. It is the first systematic account of applications of the higher forcing axioms with the stress on the technique of building forcing notions rather than on the relationship between different forcing axioms or their consistency strengths
13 editions published between 2013 and 2014 in English and Undetermined and held by 1,605 WorldCat member libraries worldwide
In the mathematical practice, the Baire category method is a tool for establishing the existence of a rich array of generic structures. However, in mathematics, the Baire category method is also behind a number of fundamental results such as the open mapping theorem or the BanachSteinhaus boundedness principle. This volume brings the Baire category method to another level of sophistication via the internal version of the settheoretic forcing technique. It is the first systematic account of applications of the higher forcing axioms with the stress on the technique of building forcing notions rather than on the relationship between different forcing axioms or their consistency strengths
Walks on ordinals and their characteristics by
Stevo Todorcevic(
)
24 editions published in 2007 in English and held by 590 WorldCat member libraries worldwide
The analysis of the characteristics of walks on ordinals is a powerful technique for building mathematical structures. This book offers an exposition of this method. It lays emphasis on applications which are presented in a unified and comprehensive manner and which stretch across several areas of mathematics such as set theory and combinatorics
24 editions published in 2007 in English and held by 590 WorldCat member libraries worldwide
The analysis of the characteristics of walks on ordinals is a powerful technique for building mathematical structures. This book offers an exposition of this method. It lays emphasis on applications which are presented in a unified and comprehensive manner and which stretch across several areas of mathematics such as set theory and combinatorics
Ramsey methods in analysis by
S Argyros(
)
19 editions published between 2005 and 2006 in English and held by 574 WorldCat member libraries worldwide
"This book introduces graduate students and researchers to the study of the geometry of Banach spaces using combinatorial methods. The combinatorial, and in particular the Ramseytheoretic, approach to Banach space theory is not new; it can be traced back as early as the 1970s. Its full appreciation, however, came only during the last decade or so, after some of the most important problems in Banach space theory were solved, such as, for example, the distortion problem, the unconditional basic sequence problem, and the homogeneous space problem. The book covers most of these advances, but one of its primary purposes is to discuss some of the recent advances that are not present in survey articles of these areas. We show, for example, how to introduce a conditional structure to a given Banach space under construction that allows us to essentially prescribe the corresponding space of nonstrictly singular operators. We also apply the NashWilliams theory of fronts and barriers in the study of Cezaro summability and unconditionality present in basic sequences inside a given Banach space. We further provide a detailed exposition of the blockRamsey theory and its recent deep adjustments relevant to the Banach space theory due to Gowers."Jacket
19 editions published between 2005 and 2006 in English and held by 574 WorldCat member libraries worldwide
"This book introduces graduate students and researchers to the study of the geometry of Banach spaces using combinatorial methods. The combinatorial, and in particular the Ramseytheoretic, approach to Banach space theory is not new; it can be traced back as early as the 1970s. Its full appreciation, however, came only during the last decade or so, after some of the most important problems in Banach space theory were solved, such as, for example, the distortion problem, the unconditional basic sequence problem, and the homogeneous space problem. The book covers most of these advances, but one of its primary purposes is to discuss some of the recent advances that are not present in survey articles of these areas. We show, for example, how to introduce a conditional structure to a given Banach space under construction that allows us to essentially prescribe the corresponding space of nonstrictly singular operators. We also apply the NashWilliams theory of fronts and barriers in the study of Cezaro summability and unconditionality present in basic sequences inside a given Banach space. We further provide a detailed exposition of the blockRamsey theory and its recent deep adjustments relevant to the Banach space theory due to Gowers."Jacket
Topics in topology by
Stevo Todorcevic(
Book
)
20 editions published in 1997 in English and held by 529 WorldCat member libraries worldwide
The book describes some interactions of topology with other areas of mathematics and it requires only basic background. The first chapter deals with the topology of pointwise convergence and proves results of Bourgain, Fremlin, Talagrand and Rosenthal on compact sets of Baire class1 functions. In the second chapter some topological dynamics of betaN and its applications to combinatorial number theory are presented. The third chapter gives a proof of the IvanovskiiKuzminovVilenkin theorem that compact groups are dyadic. The last chapter presents Marjanovic's classification of hyperspaces of compact metric zerodimensional spaces
20 editions published in 1997 in English and held by 529 WorldCat member libraries worldwide
The book describes some interactions of topology with other areas of mathematics and it requires only basic background. The first chapter deals with the topology of pointwise convergence and proves results of Bourgain, Fremlin, Talagrand and Rosenthal on compact sets of Baire class1 functions. In the second chapter some topological dynamics of betaN and its applications to combinatorial number theory are presented. The third chapter gives a proof of the IvanovskiiKuzminovVilenkin theorem that compact groups are dyadic. The last chapter presents Marjanovic's classification of hyperspaces of compact metric zerodimensional spaces
Set theory : Centre de recerca matemàtica Barcelona, 20032004 by
Joan Bagaria(
)
21 editions published in 2006 in English and held by 521 WorldCat member libraries worldwide
This volume has its origins in the Research Programme on Set Theory and its Applications that took place at the Centre de Recerca Matemática (CRM) Barcelona from September 2003 to July 2004. It consists of two parts. The first contains survey papers on some of the mainstream areas of set theory, and the second contains original research papers. The survey papers cover topics as Omegalogic, applications of set theory to lattice theory and Boolean algebras, realvalued measurable cardinals, complexity of sets and relations in continuum theory, weak subsystems of axiomatic set theory, definable versions of large cardinals, and selection theory for open covers of topological spaces. As for the research papers, they range from topics such as the number of nearcoherence classes of ultrafilters, the consistency strength of bounded forcing axioms, some applications of morasses, subgroups of Abelian Polish groups, the consistency strength of mutual stationarity, and new axioms of set theory
21 editions published in 2006 in English and held by 521 WorldCat member libraries worldwide
This volume has its origins in the Research Programme on Set Theory and its Applications that took place at the Centre de Recerca Matemática (CRM) Barcelona from September 2003 to July 2004. It consists of two parts. The first contains survey papers on some of the mainstream areas of set theory, and the second contains original research papers. The survey papers cover topics as Omegalogic, applications of set theory to lattice theory and Boolean algebras, realvalued measurable cardinals, complexity of sets and relations in continuum theory, weak subsystems of axiomatic set theory, definable versions of large cardinals, and selection theory for open covers of topological spaces. As for the research papers, they range from topics such as the number of nearcoherence classes of ultrafilters, the consistency strength of bounded forcing axioms, some applications of morasses, subgroups of Abelian Polish groups, the consistency strength of mutual stationarity, and new axioms of set theory
Partition problems in topology by
Stevo Todorcevic(
Book
)
16 editions published between 1989 and 1991 in English and Undetermined and held by 303 WorldCat member libraries worldwide
16 editions published between 1989 and 1991 in English and Undetermined and held by 303 WorldCat member libraries worldwide
Some applications of the method of forcing by
Stevo Todorcevic(
Book
)
5 editions published in 1995 in English and held by 19 WorldCat member libraries worldwide
5 editions published in 1995 in English and held by 19 WorldCat member libraries worldwide
Selected topics in combinatorial analysis(
Book
)
6 editions published in 2015 in English and held by 16 WorldCat member libraries worldwide
6 editions published in 2015 in English and held by 16 WorldCat member libraries worldwide
Introduction to Ramsey Spaces (AM174) by
Stevo Todorcevic(
)
1 edition published in 2010 in English and held by 14 WorldCat member libraries worldwide
Ramsey theory is a fastgrowing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramseytype phenomena in higher dimensions is particularly useful. Introduction to Ramsey Spaces presents in a systematic way a method for building higherdimensional Ramsey spaces from basic onedimensional principles. It is the first booklength treatment of this area of Ramsey theory, and emphasizes applications for related and surrounding fields of mathematics, such as set theory, combinatorics, real and functional analysis, and topology. In order to facilitate accessibility, the book gives the method in its axiomatic form with examples that cover many important parts of Ramsey theory both finite and infinite. An exciting new direction for combinatorics, this book will interest graduate students and researchers working in mathematical subdisciplines requiring the mastery and practice of highdimensional Ramsey theory
1 edition published in 2010 in English and held by 14 WorldCat member libraries worldwide
Ramsey theory is a fastgrowing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramseytype phenomena in higher dimensions is particularly useful. Introduction to Ramsey Spaces presents in a systematic way a method for building higherdimensional Ramsey spaces from basic onedimensional principles. It is the first booklength treatment of this area of Ramsey theory, and emphasizes applications for related and surrounding fields of mathematics, such as set theory, combinatorics, real and functional analysis, and topology. In order to facilitate accessibility, the book gives the method in its axiomatic form with examples that cover many important parts of Ramsey theory both finite and infinite. An exciting new direction for combinatorics, this book will interest graduate students and researchers working in mathematical subdisciplines requiring the mastery and practice of highdimensional Ramsey theory
Analytic topologies over countable sets by
Stevo Todorcevic(
Book
)
3 editions published in 1999 in English and held by 7 WorldCat member libraries worldwide
3 editions published in 1999 in English and held by 7 WorldCat member libraries worldwide
Combinatorics of Singular Cardinals and PCF structures by
Luis Miguel Da Silva Pereira(
Book
)
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
This work is centered on Shelah's PCF theory. We study the connection between the topology of PCF spaces and standard PCF theory notions. We prove a generalization of the result that says that separable PCF spaces are sequential and obtain as a corollary that there exist many sequences that have true cofinality modulo the ideal of finite sets. We prove that this corollary is optimal. We also give a topological proof of cardinal estimates previously obtained through the use of the GalvinHajnal norm. We study a consequence of the negation of Shelah's PCF conjecture called the Approachable Free Subset Property (AFSP). We note that AFSP is incompatible with the existence of treelike continuous scales and prove the consistency of these scales with the largest large cardinal axioms thus establishing that AFSP is not implied by large cardinals. We study the existence of treelike continuous scales and the negation of AFSP in several Prikry extensions of the universe
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
This work is centered on Shelah's PCF theory. We study the connection between the topology of PCF spaces and standard PCF theory notions. We prove a generalization of the result that says that separable PCF spaces are sequential and obtain as a corollary that there exist many sequences that have true cofinality modulo the ideal of finite sets. We prove that this corollary is optimal. We also give a topological proof of cardinal estimates previously obtained through the use of the GalvinHajnal norm. We study a consequence of the negation of Shelah's PCF conjecture called the Approachable Free Subset Property (AFSP). We note that AFSP is incompatible with the existence of treelike continuous scales and prove the consistency of these scales with the largest large cardinal axioms thus establishing that AFSP is not implied by large cardinals. We study the existence of treelike continuous scales and the negation of AFSP in several Prikry extensions of the universe
Lectures on pointset topology by
Stevo Todorcevic(
Book
)
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
Martin's axiom and the continuum hypothesis by
Stevo Todorcevic(
Book
)
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
Irredundant sets in Boolean algebras by
Stevo Todorcevic(
Book
)
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
Holonomic Dmodules on Abelian varieties by
Christian Schnell(
Book
)
2 editions published in 2015 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2015 in English and held by 2 WorldCat member libraries worldwide
Théorie de Ramsey structurale des espaces métriques et dynamique topologique des groupes d'isométries by
L. Nguyen Van Thé(
Book
)
1 edition published in 2006 in French and held by 1 WorldCat member library worldwide
THE PURPOSE OF THIS THESIS IS TO INVESTIGATE THE INTERACTIONS BETWEEN THE GEOMETRY OF COMPLETE SEPARABLE ULTRAHOMOGENEOUS METRIC SPACES, THE STRUCTURAL RAMSEY THEORY OF FINITE METRIC SPACES AND THE THEORY Ol TOPOLOGICAL GROUPS TOGETHER WITH THEIR CONTINUOUS ACTIONS ON COMPACT SPACES. THE FIRST CHAPTER IS DEVOTED TO THE DESCRIPTION OF SEVERAL CLASSES OF FINITE METRIC SPACES CHARACTERIZED BY THE EXISTENCE OF A REMARKABLE CANONICAL OBJECT CALLED 'URYSOHN SPACE1. THE SECOND CHAPTER IS DEVOTED TO THE STUDY OF SEVERAL COMBINATOR1AL PROPERTIES (CALLED RAMSEY PROPERTY AND ORDERING PROPERTY) OFTHE CLASSES PRESENTED IN THE FIRST CHAPTER. THE IMPLICATIONS OFTHOSE PROPERTIES AT THE LEVEL OF THE URYSOHN SPACES AND THEIR ISOMETRY GROUP ARE THEN PRESENTED. IN PARTICULAR A GENERAL AND RECENT THEORY DUE TO KECHRIS, PESTOV AND TODORCEVIC IS USED TO COMPUTE A DYNAMICAL INVARIANT, NAMELY THE UNIVERSAL MINIMAL FLOW, ATTACHED TO SEVERAL TRANSFORMATION GROUPS. FINALLY, THE THIRD CHAPTER IS DEVOTED TO THE STUDY OF THE SO CALLED INDIVISIBILITY PROPERTIES OF THE URYSOHN SPACES. IN PARTICULAR, THE ULTRAMETRIC CASE IS COMPLETELY SOLVED AND A COMBINATORIAL REFORMULATION OF AN ANALOG OF THE DISTORTION PROBLEM FOR THE SEPARABLE HILBERT SPACE IS OBTAINED IN THE OPEN CONTEXT OF THE UNIVERSAL URYSOHN SPACE
1 edition published in 2006 in French and held by 1 WorldCat member library worldwide
THE PURPOSE OF THIS THESIS IS TO INVESTIGATE THE INTERACTIONS BETWEEN THE GEOMETRY OF COMPLETE SEPARABLE ULTRAHOMOGENEOUS METRIC SPACES, THE STRUCTURAL RAMSEY THEORY OF FINITE METRIC SPACES AND THE THEORY Ol TOPOLOGICAL GROUPS TOGETHER WITH THEIR CONTINUOUS ACTIONS ON COMPACT SPACES. THE FIRST CHAPTER IS DEVOTED TO THE DESCRIPTION OF SEVERAL CLASSES OF FINITE METRIC SPACES CHARACTERIZED BY THE EXISTENCE OF A REMARKABLE CANONICAL OBJECT CALLED 'URYSOHN SPACE1. THE SECOND CHAPTER IS DEVOTED TO THE STUDY OF SEVERAL COMBINATOR1AL PROPERTIES (CALLED RAMSEY PROPERTY AND ORDERING PROPERTY) OFTHE CLASSES PRESENTED IN THE FIRST CHAPTER. THE IMPLICATIONS OFTHOSE PROPERTIES AT THE LEVEL OF THE URYSOHN SPACES AND THEIR ISOMETRY GROUP ARE THEN PRESENTED. IN PARTICULAR A GENERAL AND RECENT THEORY DUE TO KECHRIS, PESTOV AND TODORCEVIC IS USED TO COMPUTE A DYNAMICAL INVARIANT, NAMELY THE UNIVERSAL MINIMAL FLOW, ATTACHED TO SEVERAL TRANSFORMATION GROUPS. FINALLY, THE THIRD CHAPTER IS DEVOTED TO THE STUDY OF THE SO CALLED INDIVISIBILITY PROPERTIES OF THE URYSOHN SPACES. IN PARTICULAR, THE ULTRAMETRIC CASE IS COMPLETELY SOLVED AND A COMBINATORIAL REFORMULATION OF AN ANALOG OF THE DISTORTION PROBLEM FOR THE SEPARABLE HILBERT SPACE IS OBTAINED IN THE OPEN CONTEXT OF THE UNIVERSAL URYSOHN SPACE
Analytic kspaces by
Stevo Todorcevic(
Book
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
<> by
P Dodos(
)
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
Réflexion, Compacité et Arithmétique des Cardinaux by
Victor Manuel Torres Pérez(
Book
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
In this Thesis we give applications of two important ideas in Set Theory. One of these ideas is the reflection of stationary sets. The second idea is that strengthening the logic in Gödel's compactness theorem gives rise to a variety of interesting largecardinal axioms and other compactness principles with influence to so basic questions of modem Set Theory such as, for example, the problem about the cardinality of the continuum and other questions about the cardinal arithmetic. We show that the Weak Reflecting Principle (WRP) together with the saturation of the ideal NS imply that for every regular cardinal thêta grater than aleph 1, thetaA(omega_l)=theta. As indicated above, another theme of this Thesis is the compactness of infmitary logics. We prove that Rado's conjecture together with the saturation of the ideal NS imply Diamond_{[omega_n]A{omega_l}} for every natural number n grater than 1.In fact, the diamond sequences that we get concentrate on sets that have uniformly uncountable cofinality omega_l. We expect that further work will lead us to similar consequences to ail other regular cardinal numbers greater than or equal to omega_2
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
In this Thesis we give applications of two important ideas in Set Theory. One of these ideas is the reflection of stationary sets. The second idea is that strengthening the logic in Gödel's compactness theorem gives rise to a variety of interesting largecardinal axioms and other compactness principles with influence to so basic questions of modem Set Theory such as, for example, the problem about the cardinality of the continuum and other questions about the cardinal arithmetic. We show that the Weak Reflecting Principle (WRP) together with the saturation of the ideal NS imply that for every regular cardinal thêta grater than aleph 1, thetaA(omega_l)=theta. As indicated above, another theme of this Thesis is the compactness of infmitary logics. We prove that Rado's conjecture together with the saturation of the ideal NS imply Diamond_{[omega_n]A{omega_l}} for every natural number n grater than 1.In fact, the diamond sequences that we get concentrate on sets that have uniformly uncountable cofinality omega_l. We expect that further work will lead us to similar consequences to ail other regular cardinal numbers greater than or equal to omega_2
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Related Identities
 Chong, C.T (ChiTat) 1949 Editor
 Yang, Yue 1964 Editor
 Feng, Qi 1955 Editor
 Woodin, W. H. (W. Hugh) Author Editor
 Slaman, T. A. (Theodore Allen) 1954 Editor
 Argyros, S. (Spiros) 1950 Author Creator
 Bagaria, Joan Author Editor
 Centre de recerca matemàtica Organizer of meeting
 SpringerLink (Service en ligne)
 Farah, I. (Ilijas)
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Alternative Names
Stevo Todorčević Canadees wiskundige
Stevo Todorčević canadisk matematiker
Stevo Todorčević kanadensisk matematiker
Stevo Todorčević kanadisk matematikar
Stevo Todorčević kanadisk matematiker
Stevo Todorčević mathematician
Stevo Todorčević serbischkanadischer Mathematiker
Todorcevic, S. 1965
Todorcevic, Stevo, 1955
Todorchevich, S.
Todorchevich, S. (Stevo)
Todorchevich, S. (Stevo), 1955
Todorchevich, Stevo
Todorchevich, Stevo 1965...
Todorevic, Stevo
Todorevic Stevo 1955....
Стево Тодорчевич
Стево Тодорчевић
Тодорчевић, Стево
Тодорчевић Стево 1955....
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