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List of works by Saharon Shelah

A Note on the Normal Moore Space Conjecture

scientific article published in 1979

A Proof of Vaught’s Conjecture for ω-Stable Theories

A Variety with Solvable, but not Uniformly Solvable, Word Problem

A combinatorial problem; stability and order for models and theories in infinitary languages

scientific article published in 1972

A consistent counterexample in the theory of collectionwise Hausdorff spaces

scientific article published in 1989

A definable nonstandard model of the reals

article

A non-reflexive Whitehead group

scholarly article

A note on small sets of reals

scholarly article

A version of κ -Miller forcing

scientific article published on 20 February 2020

Applying Set Theory

scientific article published in 2021

Asymptotic cones of finitely presented groups

Automorphism groups of countable stable structures

scholarly article

Axiom of choice and chromatic number of the plane

scientific article (publication date: August 2003)

Axiom of choice and chromatic number: examples on the plane

scientific article published in 2004

Baire property and axiom of choice

scientific article published in 1993

Borel conjecture and dual Borel conjecture

scientific article published in 2013

Borel sets with large squares

scholarly article

Borel sets without perfectly many overlapping translations

scholarly article

Canonical models for ℵ1-combinatorics

Cardinal arithmetic for skeptics

Cardinal invariants above the continuum

scholarly article

Categoricity for abstract classes with amalgamation

Chang’s conjecture for ℵω

scientific article published in 1990

Choiceless polynomial time

scientific article published in October 1999

Cichoń's maximum

journal article from 'Annals of Mathematics' published in 2019

Cofinality spectrum theorems in model theory, set theory, and general topology

article

Constructing simple groups for localizations

scientific article published on 25 February 2002

Continuous images of sets of reals

Corrigendum to “generalized martin’s axiom and souslin’s hypothesis for higher cardinals”

scientific article published in 1986

Creature forcing and five cardinal characteristics in Cichoń’s diagram

Decomposing uncountable squares to countably many chains

scientific article (publication date: July 1976)

Dependent theories and the generic pair conjecture

scientific article published in 2014

Diamonds

scholarly article

Differentially closed fields

scientific article (publication date: September 1973)

Dual Borel Conjecture and Cohen reals

scientific article published in 2010

Erdős and Rényi Conjecture

scientific article published in 1998

Exact saturation in pseudo-elementary classes for simple and stable theories

scientific article published in 2022

Examples of non-locality

Existence of optimal ultrafilters and the fundamental complexity of simple theories

scientific article published in February 2016

Extraspecial p-groups

scientific article (publication date: April 1987)

Fixed-point extensions of first-order logic

scientific article published in 1986

Forcing axiom failure for any ?>? 1

scientific article published in 2004

Forcing closed unbounded sets

General topology meets model theory, on p and t.

scientific article published on 08 July 2013

Generalized Martin’s Axiom and Souslin’s hypothesis for higher cardinals

scientific article published in 1982

Independent families in Boolean algebras with some separation properties

scholarly article by Piotr Koszmider & Saharon Shelah published 30 March 2013 in Algebra Universalis

Infinite abelian groups, whitehead problem and some constructions

Infinite combinatorics in mathematical biology

scientific article published in 2021

Infinite monochromatic sumsets for colourings of the reals

scientific article published in 2019

Jonsson algebras in successor cardinals

scholarly article by S. Shelah et al published March 1978 in Israel Journal of Mathematics

Keisler’s order has infinitely many classes

scientific article published on 21 March 2018

Large localizations of finite simple groups

article by Rüdiger Göbel et al published 26 January 2002 in Crelle's Journal

Local character of Kim-independence

scholarly article

Logical dreams

article

Lower bounds on coloring numbers from hardness hypotheses in pcf theory

scientific article published in 2016

Lusin sequences under CH and under Martin's Axiom

scientific article published in 2001

Martin's Maximum, Saturated Ideals and Non-Regular Ultrafilters. Part II

Martin's Maximum, Saturated Ideals, and Non-Regular Ultrafilters. Part I

Martin's axiom and $\Delta^2_1$ well-ordering of the reals

scientific article published in 1996

Martin's axioms, measurability and equiconsistency results

scientific article published in 1989

Martin’s Axiom and separated mad families

scientific article published in 2011

Martin’s Axiom is consistent with the existence of nowhere trivial automorphisms

scientific article published in 2001

Martin’s axiom does not imply that every two ℵ_1-dense sets of reals are isomorphic

scientific article published in March 1981

Minimal stable types in Banach spaces

scholarly article

Modules over arbitrary domains

NOTES ON THE STABLE REGULARITY LEMMA

scientific article published in 2021

On a conjecture of Tarski on products of cardinals

scientific article published in 1991

On a conjecture regarding nonstandard uniserial modules

scientific article published in 1993

On partial orderings having precalibre-ℵ<sub>1</sub>and fragments of Martin's axiom

scientific article published in 2016

On possible restrictions of the null ideal

scholarly article

On successors of singular cardinals

scientific article published in 1979

On the Complexity of the Elzinga-Hearn Algorithm for the 1-Center Problem

scientific article (publication date: May 1987)

On the Spectrum of Characters of Ultrafilters

scholarly article published in January 2018

On the cogeneration of cotorsion pairs

On the existence of precovers

scholarly article

On the weak Freese-Nation property of complete Boolean algebras

scholarly article

On universal graphs without instances of CH

scientific article (publication date: February 1984)

Pointwise compact and stable sets of measurable functions

scientific article published in 1993

Polish topologies for graph products of cyclic groups

scholarly article

Polish topologies for graph products of groups

scholarly article

Prescribing endomorphism algebras of ℵ_n-free modules

scientific article published in 2014

Primitive Recursive Bounds for Van Der Waerden Numbers

scholarly article by Saharon Shelah published July 1988 in Journal of the American Mathematical Society

Reconstructing structures with the strong small index property up to bi-definability

scholarly article

Refuting ehrenfeucht conjecture on rigid models

scientific article published in 1976

Regressive partition relations for infinite cardinals

scientific article published in 1987

Regularity lemmas for stable graphs

scientific article published on 29 August 2013

Relations Between Some Cardinals in the Absence of the Axiom of Choice

scientific article published in 2001

Remarks in abstract model theory

scholarly article

Retraction Note of “Baire property and axiom of choice”

scientific article published in 2020

S-spaces and large continuum

scientific article published in 2023

Sacks forcing, Laver forcing, and Martin's axiom

scientific article published in 1992

Saturated null and meager ideal

scholarly article

Semiproper forcing axiom implies Martin maximum but not PFA<sup>+</sup>

scientific article published in 1987

Separability properties of almost — disjoint families of sets

scientific article published in June 1972

Set Mappings on 4-Tuples

scholarly article published in January 2018

Simple forcing notions and forcing axioms

scientific article published in 1997

Small-large subgroups of the reals

scholarly article published on 18 May 2018

Some Independence Results on Reflection

scholarly article published in February 1999

Some compact logics – results in ZFC

scientific article published in March 1993

Some counterexamples in the partition calculus

scientific article published in 1973

Souslin trees and successors of singular cardinals

scholarly article

Specializing Aronszajn Trees with Strong Axiom A and Halving

scientific article published in 2019

Spectra of the Γ-invariant of uniform modules

Strong splitting in stable homogeneous models

scholarly article

The Keisler–Shelah isomorphism theorem and the continuum hypothesis

scientific article published in 2023

The Keisler–Shelah isomorphism theorem and the continuum hypothesis II

scientific article published in 2023

The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing)

The borel conjecture

scientific article published in 1990

The bounded proper forcing axiom

The consistency with CH of some consequences of Martin’s axiom plus $$2^{\aleph _0 } > \aleph _1 $$

scientific article published in 1978

The generic pair conjecture for dependent finite diagrams

scientific article published in 2016

The last forcing standing with diamonds

scholarly article

The monadic theory of order

scientific article published in November 1975

The number of infinite substructures

scientific article published in January 1991

The structure of Ext(A, ℤ) and V = L

The undecidability of the recursively enumerable degrees

scientific article (publication date: 1982)

There are no very meager sets in the model in which both the Borel Conjecture and the dual Borel Conjecture are true

scientific article published in 2016

There may be simple Pℵ1 and Pℵ2-points and the Rudin-Keisler ordering may be downward directed

Transcendence bases, well-orderings of the reals and the axiom of choice

scientific article published in 2020

Two problems on ℵ_0-indecomposable Abelian groups

scientific article published in April 1986

Ultrafilter extensions do not preserve elementary equivalence

scholarly article

Universal Graphs with Forbidden Subgraphs and Algebraic Closure

scholarly article by Gregory Cherlin et al published May 1999 in Advances in Applied Mathematics

Universal graphs omitting finitely many finite graphs

scholarly article

Universal graphs with a forbidden subtree

scientific article (publication date: May 2007)

Whitehead groups may be not free, even assuming CH, I

Whitehead groups may not be free even assuming ch, II

Zero-one laws for sparse random graphs

scientific article published in 1988