ODT - THESIS TOPIC: Péter Komjáth: Large Cardinals and Combinatorial ...


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Thesis topic proposal

Large Cardinals and Combinatorial Principles in Choice less Models

THESIS TOPIC PROPOSAL

Institute: Eötvös Loránd University, Budapest
philosophy
Doctoral School of Philosophy

Thesis supervisor: Péter Komjáth
Location of studies (in Hungarian): ELTE BTK
Abbreviation of location of studies: ELTE

Description of the research topic:

Behaviour of Large cardinals can change dramatically without the assumption of the Axiom of Choice. We will study the construction of the models of set theory where the Axiom of Choice fails and the change of the behaviour of cardinals and large cardinals in those models. Also I am interested in several Combinatorial principles in choice less models. We will study the consistency strength of those Combinatorial principles inspired from Model theory and Cardinal Arithmetic which can be tractable without the Axiom of Choice using forcing and core model theory techniques. We will also see the vast applications of Axiom of Choice in several branches of Mathematics.

Number of students who can be accepted: 1

Deadline for application: 2024-05-06

2024. IV. 17.
ODT ülés
Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).