Björner, Anders
Overview
Works:  57 works in 168 publications in 4 languages and 3,183 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Contributor, Collector, Honoree 
Classifications:  QA166.6, 511.6 
Publication Timeline
.
Most widely held works by
Anders Björner
Combinatorics of coxeter groups by
Anders Björner(
Book
)
30 editions published between 2005 and 2010 in English and held by 419 WorldCat member libraries worldwide
This book is a carefully written exposition of Coxeter groups, an area of mathematics which appears in algebra, geometry, and combinatorics. In this book, the combinatorics of Coxeter groups has mainly to do with reduced expressions, partial order of group elements, enumeration, associated graphs and combinatorial cell complexes, and more
30 editions published between 2005 and 2010 in English and held by 419 WorldCat member libraries worldwide
This book is a carefully written exposition of Coxeter groups, an area of mathematics which appears in algebra, geometry, and combinatorics. In this book, the combinatorics of Coxeter groups has mainly to do with reduced expressions, partial order of group elements, enumeration, associated graphs and combinatorial cell complexes, and more
Oriented matroids by
Anders Björner(
Book
)
10 editions published between 1992 and 1993 in English and Undetermined and held by 409 WorldCat member libraries worldwide
10 editions published between 1992 and 1993 in English and Undetermined and held by 409 WorldCat member libraries worldwide
Oriented matroids by
Anders Björner(
Book
)
14 editions published in 1999 in English and held by 281 WorldCat member libraries worldwide
First comprehensive, accessible account; second edition has expanded bibliography and a new appendix surveying recent research
14 editions published in 1999 in English and held by 281 WorldCat member libraries worldwide
First comprehensive, accessible account; second edition has expanded bibliography and a new appendix surveying recent research
A combinatorial miscellany by
Anders Björner(
Book
)
7 editions published in 2010 in English and French and held by 56 WorldCat member libraries worldwide
7 editions published in 2010 in English and French and held by 56 WorldCat member libraries worldwide
Using the BorsukUlam theorem : lectures on topological methods in combinatorics and geometry by
Jiří Matoušek(
Book
)
15 editions published between 2003 and 2010 in English and held by 44 WorldCat member libraries worldwide
A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. They are scattered in research papers or outlined in surveys, and they often use topological notions not commonly known among combinatorialists or computer scientists. This book is the first textbook treatment of a significant part of such results. It focuses on socalled equivariant methods, based on the BorsukUlam theorem and its generalizations. The topological tools are intentionally kept on a very elementary level (for example, homology theory and homotopy groups are completely avoided). No prior knowledge of algebraic topology is assumed, only a background in undergraduate mathematics, and the required topological notions and results are gradually explained. At the same time, many substantial combinatorial results are covered, sometimes with some of the most important results, such as Kneser's conjecture, showing them from various points of view. The history of the presented material, references, related results, and more advanced methods are surveyed in separate subsections. The text is accompanied by numerous exercises, of varying difficulty. Many of the exercises actually outline additional results that did not fit in the main text. The book is richly illustrated, and it has a detailed index and an extensive bibliography. This text started with a onesemester graduate course the author taught in fall 1993 in Prague. The transcripts of the lectures by the participants served as a basis of the first version. Some years later, a course partially based on that text was taught by Gunter M. Ziegler in Berlin. The book is based on a thoroughly rewritten version prepared during a predoctoral course the author taught at the ETH Zurich in fall 2001. Most of the material was covered in the course: Chapter 1 was assigned as an introductory reading text, and the other chapters were presented in approximately 30 hours of teaching (by 45 minutes), with some omissions throughout and with only a sketchy presentation of the last chapter
15 editions published between 2003 and 2010 in English and held by 44 WorldCat member libraries worldwide
A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. They are scattered in research papers or outlined in surveys, and they often use topological notions not commonly known among combinatorialists or computer scientists. This book is the first textbook treatment of a significant part of such results. It focuses on socalled equivariant methods, based on the BorsukUlam theorem and its generalizations. The topological tools are intentionally kept on a very elementary level (for example, homology theory and homotopy groups are completely avoided). No prior knowledge of algebraic topology is assumed, only a background in undergraduate mathematics, and the required topological notions and results are gradually explained. At the same time, many substantial combinatorial results are covered, sometimes with some of the most important results, such as Kneser's conjecture, showing them from various points of view. The history of the presented material, references, related results, and more advanced methods are surveyed in separate subsections. The text is accompanied by numerous exercises, of varying difficulty. Many of the exercises actually outline additional results that did not fit in the main text. The book is richly illustrated, and it has a detailed index and an extensive bibliography. This text started with a onesemester graduate course the author taught in fall 1993 in Prague. The transcripts of the lectures by the participants served as a basis of the first version. Some years later, a course partially based on that text was taught by Gunter M. Ziegler in Berlin. The book is based on a thoroughly rewritten version prepared during a predoctoral course the author taught at the ETH Zurich in fall 2001. Most of the material was covered in the course: Chapter 1 was assigned as an introductory reading text, and the other chapters were presented in approximately 30 hours of teaching (by 45 minutes), with some omissions throughout and with only a sketchy presentation of the last chapter
Configuration spaces : geometry, combinatorics and topology by
Anders Björner(
Book
)
12 editions published between 2012 and 2013 in English and Undetermined and held by 32 WorldCat member libraries worldwide
These proceedings contain the contributions of some of the participants in the "intensive research period" held at the De Giorgi Research Center in Pisa, during the period MayJune 2010. The central theme of this research period was the study of configuration spaces from various points of view. This topic originated from the intersection of several classical theories: Braid groups and related topics, configurations of vectors (of great importance in Lie theory and representation theory), arrangements of hyperplanes and of subspaces, combinatorics, singularity theory. Recently, however, configuration spaces have acquired independent interest and indeed the contributions in this volume go far beyond the above subjects, making it attractive to a large audience of mathematicians
12 editions published between 2012 and 2013 in English and Undetermined and held by 32 WorldCat member libraries worldwide
These proceedings contain the contributions of some of the participants in the "intensive research period" held at the De Giorgi Research Center in Pisa, during the period MayJune 2010. The central theme of this research period was the study of configuration spaces from various points of view. This topic originated from the intersection of several classical theories: Braid groups and related topics, configurations of vectors (of great importance in Lie theory and representation theory), arrangements of hyperplanes and of subspaces, combinatorics, singularity theory. Recently, however, configuration spaces have acquired independent interest and indeed the contributions in this volume go far beyond the above subjects, making it attractive to a large audience of mathematicians
New perspectives in algebraic combinatorics by
Louis J Billera(
Book
)
2 editions published in 1999 in Undetermined and English and held by 5 WorldCat member libraries worldwide
"During 199697, the Mathematical Sciences Research Institute held a full academic year program on combinatorics, with special emphasis on the connections with other branches of mathematics, such as algebraic geometry, topology, commutative algebra, representation theory, and convex geometry."BOOK JACKET. "The rich combinatorial problems arising from the study of various algebraic structures are the subject of this book, which represents work done or presented at seminars during the program."BOOK JACKET. "These expository articles, written by some of the most respected researchers in the field, present the state of the art to researchers and graduate students in combinatorics as well as algebra, geometry, and topology."Jacket
2 editions published in 1999 in Undetermined and English and held by 5 WorldCat member libraries worldwide
"During 199697, the Mathematical Sciences Research Institute held a full academic year program on combinatorics, with special emphasis on the connections with other branches of mathematics, such as algebraic geometry, topology, commutative algebra, representation theory, and convex geometry."BOOK JACKET. "The rich combinatorial problems arising from the study of various algebraic structures are the subject of this book, which represents work done or presented at seminars during the program."BOOK JACKET. "These expository articles, written by some of the most respected researchers in the field, present the state of the art to researchers and graduate students in combinatorics as well as algebra, geometry, and topology."Jacket
Homotopy properties of greedoids by
Anders Björner(
Book
)
3 editions published in 1984 in German and English and held by 5 WorldCat member libraries worldwide
3 editions published in 1984 in German and English and held by 5 WorldCat member libraries worldwide
Topological and geometric combinatorics : April 6th  April 12th, 2003(
Book
)
1 edition published in 2003 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2003 in English and held by 4 WorldCat member libraries worldwide
On matroids, groups and exchange languages by
Anders Björner(
Book
)
5 editions published in 1983 in English and Swedish and held by 4 WorldCat member libraries worldwide
5 editions published in 1983 in English and Swedish and held by 4 WorldCat member libraries worldwide
Pseudomodular lattices and continuous matroids by
Anders Björner(
Book
)
3 editions published in 1987 in English and Swedish and held by 3 WorldCat member libraries worldwide
3 editions published in 1987 in English and Swedish and held by 3 WorldCat member libraries worldwide
Face numbers of scarf complexes by
Anders Björner(
Book
)
3 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
Combinatorial stratification of complex arrangements by
Anders Björner(
Book
)
4 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
4 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
Posets and regular CW complexes by
Anders Björner(
Book
)
4 editions published in 1982 in English and Swedish and held by 3 WorldCat member libraries worldwide
4 editions published in 1982 in English and Swedish and held by 3 WorldCat member libraries worldwide
Studies in homological and combinatorial order theory by
Anders Björner(
)
3 editions published in 1979 in 3 languages and held by 3 WorldCat member libraries worldwide
3 editions published in 1979 in 3 languages and held by 3 WorldCat member libraries worldwide
An extended EulerPoincaré theorem by
Anders Björner(
Book
)
2 editions published in 1987 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1987 in English and held by 2 WorldCat member libraries worldwide
Linear decision trees : volume estimates and topological bounds by
DIMACS (Group)(
Book
)
2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide
Invertibility of the Radon transform of a matroid by
Anders Björner(
Book
)
2 editions published in 1990 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 2 WorldCat member libraries worldwide
Segre and Rees products of posets, with ringtheoretic applications by
Anders Björner(
Book
)
1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide
Chip firing games on directed graphs by
Anders Björner(
Book
)
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
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Audience Level
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Kids  General  Special 
Related Identities
 Brenti, Francesco 1960
 Procesi, Claudio Editor
 De Concini, Corrado Author Editor
 Salvetti, Mario Editor
 Cohen, Fred Editor
 Ziegler, Günter M. Editor Collector Contributor
 Matoušek, Jiři Author
 Stanley, Richard P. 1944 Author Editor
 Sturmfels, Bernd
 White, Neil
Useful Links
Associated Subjects
Algebraic topology Combinatorial analysis Combinatorial geometry Combinatorial group theory Computational complexity Configuration space Coxeter groups Geometry Group theory Information theory KazhdanLusztig polynomials Linear programming Mathematics Matroids Ordered algebraic structures Oriented matroids Topological groups
Alternative Names
Anders Björner schwedischer Mathematiker
Anders Björner svensk matematikar
Anders Björner svensk matematiker
Anders Björner Swedish mathematician
Anders Björner Zweeds wiskundige
Björner, A.
Björner, A. (Anders)
Björner, Anders
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