Shelah, Saharon
Overview
Works:  94 works in 227 publications in 2 languages and 2,349 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA9.7, 511.3 
Publication Timeline
.
Most widely held works about
Saharon Shelah
 Notes on a two cardinal theorem of Shelah by Jeff Brubacher( )
 Arithmetic progressions : from Hilbert to Shelah by Ronald L Graham( Visual )
 Applications of forcing to cardinal invariants of the continuum by Michael W Hudak( )
Most widely held works by
Saharon Shelah
Classification theory and the number of nonisomorphic models by
Saharon Shelah(
Book
)
38 editions published between 1978 and 1990 in English and Undetermined and held by 528 WorldCat member libraries worldwide
In this research monograph, the author's work on classification and related topics are presented. This revised edition brings the book up to date with the addition of four new chapters as well as various corrections to the 1978 text. The additional chapters X  XIII present the solution to countable first order T of what the author sees as the main test of the theory. In Chapter X the Dimensional Order Property is introduced and it is shown to be a meaningful dividing line for superstable theories. In Chapter XI there is a proof of the decomposition theorems. Chapter XII is the crux of the matter: there is proof that the negation of the assumption used in Chapter XI implies that in models of T a relation can be defined which orders a large subset of mM. This theorem is also the subject of Chapter XIII
38 editions published between 1978 and 1990 in English and Undetermined and held by 528 WorldCat member libraries worldwide
In this research monograph, the author's work on classification and related topics are presented. This revised edition brings the book up to date with the addition of four new chapters as well as various corrections to the 1978 text. The additional chapters X  XIII present the solution to countable first order T of what the author sees as the main test of the theory. In Chapter X the Dimensional Order Property is introduced and it is shown to be a meaningful dividing line for superstable theories. In Chapter XI there is a proof of the decomposition theorems. Chapter XII is the crux of the matter: there is proof that the negation of the assumption used in Chapter XI implies that in models of T a relation can be defined which orders a large subset of mM. This theorem is also the subject of Chapter XIII
Around classification theory of models by
Saharon Shelah(
Book
)
17 editions published in 1986 in English and Undetermined and held by 362 WorldCat member libraries worldwide
17 editions published in 1986 in English and Undetermined and held by 362 WorldCat member libraries worldwide
Axiomatic set theory by AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on Axiomatic Set Theory(
Book
)
12 editions published in 1984 in English and held by 261 WorldCat member libraries worldwide
12 editions published in 1984 in English and held by 261 WorldCat member libraries worldwide
Cardinal arithmetic by
Saharon Shelah(
Book
)
12 editions published between 1994 and 2002 in English and Undetermined and held by 251 WorldCat member libraries worldwide
12 editions published between 1994 and 2002 in English and Undetermined and held by 251 WorldCat member libraries worldwide
Norms on possibilities I : forcing with trees and creatures by
Andrzej Rosłanowski(
Book
)
16 editions published in 1999 in English and held by 224 WorldCat member libraries worldwide
16 editions published in 1999 in English and held by 224 WorldCat member libraries worldwide
Classification theory for elementary abstract classes by
Saharon Shelah(
Book
)
4 editions published in 2009 in English and held by 32 WorldCat member libraries worldwide
4 editions published in 2009 in English and held by 32 WorldCat member libraries worldwide
Classification theory for abstract elementary classes by
Saharon Shelah(
Book
)
5 editions published in 2009 in English and held by 20 WorldCat member libraries worldwide
5 editions published in 2009 in English and held by 20 WorldCat member libraries worldwide
Around classification theory by
Saharon Shelah(
Book
)
3 editions published in 1986 in English and Undetermined and held by 12 WorldCat member libraries worldwide
3 editions published in 1986 in English and Undetermined and held by 12 WorldCat member libraries worldwide
Classifying general classes by
Saharon Shelah(
Visual
)
2 editions published in 1986 in English and held by 11 WorldCat member libraries worldwide
2 editions published in 1986 in English and held by 11 WorldCat member libraries worldwide
Proper forcing by
Saharon Shelah(
Book
)
8 editions published between 1982 and 2008 in 3 languages and held by 8 WorldCat member libraries worldwide
These notes can be viewed and used in several different ways, each has some justification, a collection of papers, a research monograph or a text book. The author has lectured variants of several of the chapters several times: in University of California, Berkeley, 1978, Ch. III, N, V in Ohio State Univer sity in Columbus, Ohio 1979, Ch. I, ll and in the Hebrew University 1979/80 Ch. I, II, III, V, and parts of VI. Moreover Azriel Levi, who has a much better name than the author in such matters, made notes from the lectures in the Hebrew University, rewrote them, and they ·are Chapters I, II and part of III, and were somewhat corrected and expanded by D. Drai, R. Grossberg and the author. Also most of XI ʹ15 were lectured on and written up by Shai Ben David. Also our presentation is quite selfcontained. We adopted an approach I heard from Baumgartner and may have been used by others: not proving that forcing work, rather take axiomatically that it does and go ahead to applying it. As a result we assume only knowledge of naive set theory (except some iso lated points later on in the book)
8 editions published between 1982 and 2008 in 3 languages and held by 8 WorldCat member libraries worldwide
These notes can be viewed and used in several different ways, each has some justification, a collection of papers, a research monograph or a text book. The author has lectured variants of several of the chapters several times: in University of California, Berkeley, 1978, Ch. III, N, V in Ohio State Univer sity in Columbus, Ohio 1979, Ch. I, ll and in the Hebrew University 1979/80 Ch. I, II, III, V, and parts of VI. Moreover Azriel Levi, who has a much better name than the author in such matters, made notes from the lectures in the Hebrew University, rewrote them, and they ·are Chapters I, II and part of III, and were somewhat corrected and expanded by D. Drai, R. Grossberg and the author. Also most of XI ʹ15 were lectured on and written up by Shai Ben David. Also our presentation is quite selfcontained. We adopted an approach I heard from Baumgartner and may have been used by others: not proving that forcing work, rather take axiomatically that it does and go ahead to applying it. As a result we assume only knowledge of naive set theory (except some iso lated points later on in the book)
A compactness theorem for singular cardinals : free algebras, Whitehead problem and transversals by
Saharon Shelah(
Book
)
3 editions published in 1975 in English and held by 8 WorldCat member libraries worldwide
3 editions published in 1975 in English and held by 8 WorldCat member libraries worldwide
On HCO spaces : an uncountable compact T2 space, different from [aleph]1 + 1, which is homeomorphic to every of its uncountable
closed subspaces by
R Bonnet(
Book
)
4 editions published in 1990 in German and English and held by 8 WorldCat member libraries worldwide
4 editions published in 1990 in German and English and held by 8 WorldCat member libraries worldwide
Nowhere precipitousness of the nonstationary ideal over PK[lamda] by
Yo Matsubara(
Book
)
4 editions published in 2001 in English and held by 6 WorldCat member libraries worldwide
4 editions published in 2001 in English and held by 6 WorldCat member libraries worldwide
Characterizing dominating graphs by
Reinhard Diestel(
Book
)
2 editions published in 1991 in German and English and held by 5 WorldCat member libraries worldwide
2 editions published in 1991 in German and English and held by 5 WorldCat member libraries worldwide
Fixedpoint extensions of firstorder logic by
Yuri Gurevich(
Book
)
3 editions published in 1985 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1985 in English and held by 5 WorldCat member libraries worldwide
Nonconvergence, undecidability, and intractability in asymptotic problems by
K. J Compton(
Book
)
2 editions published in 1985 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1985 in English and held by 4 WorldCat member libraries worldwide
Expected computation time for Hamiltonian path problem and clique problem by
University of Michigan(
Book
)
2 editions published between 1984 and 1985 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 1984 and 1985 in English and held by 3 WorldCat member libraries worldwide
Classification theory for abstract elementary classes by
Saharon Shelah(
Book
)
3 editions published in 2009 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 2009 in English and held by 3 WorldCat member libraries worldwide
Cardinalities definable by constant depth polynomial size circuits by
Larry Denenberg(
Book
)
2 editions published in 1983 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1983 in English and held by 2 WorldCat member libraries worldwide
The Borel Conjecture by
Calif.) Mathematical Sciences Research Institute (Berkeley(
Book
)
2 editions published in 1989 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1989 in English and held by 2 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 American Mathematical Society Other
 Martin, D. A. (Donald A.) 1940 Other Editor
 Baumgartner, James E. 19432011 Other Editor
 Rosłanowski, Andrzej 1960 Author
 SpringerLink (Service en ligne)
 Gurevich, Yuri Author
 Judah, H. Author
 Bonnet, Robert Author
 Matsubara, Yo Author
 Steprāns, Juris
Useful Links
Associated Subjects
Alternative Names
Saharon Šelach
Saharon Shelah
Saharon Shelah Israeli mathematician
Saharon Shelah israelischer Mathematiker
Saharon Shelah israelisk matematiker
Saharon Shelah matematico israeliano
Saharon Shelah matematyk izraelski
Saharon Shelah wiskundige uit Israël
Šelach, Saharon 1945
Šelaḥ, Śaharon 1945...
Shalah, S.
Shelah, S.
Shelah, S. 1945
Shelah, S. (Saharon)
Shelah, S. (Saharon), 1945
Shelah, Saharon
Szaharón Selah
Шелах, Сахарон
שהרן שלח
שלח שהרן 1945....
شارون شيلح
사하론 셸라흐
サハロン・シェラハ
薩哈讓·謝拉赫
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