Gabriel Fernandes: Tall cardinals in extender models

Tuesday, October 9, 2018, 15.00
Howard House 4th Floor Seminar Room, University of Bristol

Speaker: Gabriel Fernandes (University of Münster)

Title: Tall cardinals in extender models

Abstract:

Gitik proved under ¬0^sword that if κ is a measurable cardinal and 2^κ > λ ≥ κ^+ and λ is a regular cardinal then o^K(κ) ≥ λ, where K stands for the core model. In joint work with Ralf Schindler, in a attempt to generalize Gitik’s result to larger core models, we obtained for the case where V is an extender model a characterization of λ-tall cardinals in terms of the function o^K(). In the talk I will define λ-tall cardinals, o^K(), give an informal definition of the core model, state precisely the characterization we obtained and sketch its proof.

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