Results 31 to 40 of about 71 (54)

Cardinals as Ultrapowers. A Canonical Measure Analysis under the Axiom of Determinacy.

open access: yes, 2009
This thesis is in the field of Descriptive Set Theory and examines some consequences of the Axiom of Determinacy concerning partition properties that define large cardinals.
Bold, Stefan
core  
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C laudio A gostini . Generalized descriptive set theory at uncountable cardinals & actions of monoids in combinatorics . Università degli Studi di Torino 2022. Supervised by Luca Motto Ros. MSC: Primary 03E15, 05D10, Secondary 54E99, 03C98.

The Bulletin of Symbolic Logic
Abstract The thesis is divided into two parts. The first one focuses on generalized descriptive set theory, and the second one on combinatorics, model theory, and Ramsey theory. Generalized descriptive set theory (GDST) is a natural extension of (classical) descriptive set theory (DST) where ...
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S ebastiano T hei . Singular cardinals through the lens of Shelah’s pcf theory and Prikry-type forcings . University of Udine. 2025. Supervised by Vincenzo Dimonte. MSC 03E35, 03E04, 03E55, 03E15. Keywords: large cardinals, pcf theory, forcing, HOD hypothesis, scale.

The Bulletin of Symbolic Logic
Abstract The development of the forcing method has shown that several key questions regarding infinite sets cannot be settled under ZFC alone. The most widely supported view is that this undecidability simply reflects the limitations of ZFC in addressing all mathematical problems. This perspective has motivated an
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Equilibria Existence in Bayesian Games: Climbing the Countable Borel Equivalence Relation Hierarchy

Mathematics of Operations Research, 2022
Yehuda John Levy, Ziv Hellman
exaly  

Some Exact Equiconsistency Results in Set Theory.

Notre Dame Journal of Formal Logic, 1985
Saharon Shelah, Leo Harrington
exaly  

The Class of Synthesizable Pseudomeasures

Illinois Journal of Mathematics, 1991
A S Kechris
exaly  

Careful Choices---a Last Word on Borel Selectors.

Notre Dame Journal of Formal Logic, 1981
John P Burgess
exaly  

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