M_1 and its strategy extensions

Basic data for this talk

Type of talkscientific talk
Name der VortragendenSchlutzenberg Farmer
Date of talk26/09/2019
Talk languageEnglish
URL of slideshttps://www.cirm-math.fr/RepOrga/2052/Slides/Schlutzenberg-Luminy2019.pdf

Information about the event

Name of the event15th International Luminy Workshop in Set Theory
Event period23/09/2019 - 27/09/2019
Event locationLuminy, Frankreich
Event websitehttps://conferences.cirm-math.fr/2052.html
Organised byCIRM, Luminy

Abstract

Recall that M_1 is the minimal proper class mouse with a Woodin cardinal δ. We will consider models of the form M_1[Σ], where Σ is a fragment of the iteration strategy for M_1. In particular, we will discuss how much strategy Σ can be added without destroying the Woodinness of δ. We will also discuss the κ-mantle of M_1, for certain values of κ.
KeywordsSet theory; inner model theory; strategy mouse; set theoretic geology

Speakers from the University of Münster

Schlutzenberg, Farmer
Junior professorship for mathematical logic (Prof. Schlutzenberg)