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An Overview of Saharon Shelah's Contributions to Mathematical Logic, in Particular to Model Theory
Theoria 87 (2):349-360 (2020)
Abstract
I will give a brief overview of Saharon Shelah’s work in mathematical logic. I will focus on three transformative contributions Shelah has made: stability theory, proper forcing and PCF theory. The first is in model theory and the other two are in set theory.Author's Profile
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Categoricity, External and Internal: An Excerpt from a Conversation with Saharon Shelah.Andrés Villaveces - 2021 - Theoria 87 (4):1001-1012.
Maryanthe Malliaris and Saharon Shelah, Cofinality spectrum problems in model theory, set theory and general topology. Journal of the American Mathematical Society, vol. 29 , pp. 237–297. - Maryanthe Malliaris and Saharon Shelah, Existence of optimal ultrafilters and the fundamental complexity of simple theories. Advances in Mathematics, vol. 290 , pp. 614–681. - Maryanthe Malliaris and Saharon Shelah, Keisler’s order has infinitely many classes. Israel Journal of Mathematics, to appear, https://math.uchicago.edu/∼mem/. [REVIEW]H. Jerome Keisler - 2017 - Bulletin of Symbolic Logic 23 (1):117-121.
Review: S. Shelah, Stable Theories; Saharon Shelah, Stability, the F.C.P., and Superstability; Model Theoretic Properties of Formulas in First Order Theory. [REVIEW]John T. Baldwin - 1973 - Journal of Symbolic Logic 38 (4):648-649.
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The Dividing Line Methodology: Model Theory Motivating Set Theory.John T. Baldwin - 2021 - Theoria 87 (2):361-393.
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