On the failure of two successive squares

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Title (deu)

Speaker / Lecturer

Martin Zeman

UC Irvine

Description (deu)

Given a cardinal \kappa we consider the statement "\kappa is threadable + \square_\kappa fails". Assuming "CH + \kappa=\omega_2" or "2^\omega=\omega_2 + \kappa=\omega_3", a core model induction argument then yields "AD_R + \Theta is regular". This brings the results by Jensen-Schindler-Schimmerling-Steel one cardinal down. This is a joint work with Nam Trang.

Keywords (deu)

DeterminacyInner ModelsForcing Axioms

Subject (eng)

ÖFOS 2012 -- 101 -- Mathematics

Type (eng)

lecture

Language

[eng]

Persistent identifier

https://phaidra.univie.ac.at/o:2075711

Date created

2024-06-25