Saharon Shelah

Research interests

Publications

• Categoricity for abstract classes with amalgamation

  Annals of Pure and Applied Logic · 1999 · 10.1016/s0168-0072(98)00016-5

• Proper and Improper Forcing

  Perspectives in mathematical logic · 1998 · https://doi.org/10.1007/978-3-662-12831-2

• Cardinal Arithmetic

  · 1994 · 10.1093/oso/9780198537854.001.0001

• The Small Index Property for ω‐Stable ω‐Categorical Structures and for the Random Graph

  Journal of the London Mathematical Society · 1993 · 10.1112/jlms/s2-48.2.204

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

  Annals of Mathematics · 1988 · https://doi.org/10.2307/1971415

• Primitive recursive bounds for van der Waerden numbers

  Journal of the American Mathematical Society · 1988 · 10.1090/s0894-0347-1988-0929498-x

• Zero-one laws for sparse random graphs

  Journal of the American Mathematical Society · 1988 · 10.1090/s0894-0347-1988-0924703-8

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

  Annals of Pure and Applied Logic · 1987 · 10.1016/0168-0072(87)90082-0

• Expected Computation Time for Hamiltonian Path problem

  SIAM Journal on Computing · 1987 · 10.1137/0216034

• Fixed-point extensions of first-order logic

  Annals of Pure and Applied Logic · 1986 · 10.1016/0168-0072(86)90055-2

• Can you take Solovay’s inaccessible away?

  Israel Journal of Mathematics · 1984 · 10.1007/bf02760522

• Reasoning with time and chance

  Information and Control · 1982 · 10.1016/s0019-9958(82)91022-1

• Proper Forcing

  Lecture notes in mathematics · 1982 · 10.1007/978-3-662-21543-2

• On the temporal analysis of fairness

  Journal · 1980 · https://doi.org/10.1145/567446.567462

• Simple unstable theories

  Annals of Mathematical Logic · 1980 · 10.1016/0003-4843(80)90009-1

• On a Problem of Kurosh, Jonsson Groups, and Applications

  Studies in logic and the foundations of mathematics · 1980 · 10.1016/s0049-237x(08)71346-6

• On Successors of Singular Cardinals

  Studies in logic and the foundations of mathematics · 1979 · 10.1016/s0049-237x(08)71635-5

• A weak version of ◊ which follows from 2ℵ 0<2ℵ 1

  Israel Journal of Mathematics · 1978 · 10.1007/bf02762012

• The Monadic Theory of Order

  Annals of Mathematics · 1975 · https://doi.org/10.2307/1971037

• A compactness theorem for singular cardinals, free algebras, Whitehead problem and tranversals

  Israel Journal of Mathematics · 1975 · 10.1007/bf02757993

• Infinite abelian groups, whitehead problem and some constructions

  Israel Journal of Mathematics · 1974 · 10.1007/bf02757281

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

  Pacific Journal of Mathematics · 1972 · https://doi.org/10.2140/pjm.1972.41.247

• Every two elementarily equivalent models have isomorphic ultrapowers

  Israel Journal of Mathematics · 1971 · 10.1007/bf02771574

• Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory

  Annals of Mathematical Logic · 1971 · 10.1016/0003-4843(71)90015-5

• Finite diagrams stable in power

  Annals of Mathematical Logic · 1970 · 10.1016/0003-4843(70)90007-0

Current projects

No projects listed.