New York Set Theory Seminar talk: A nice model for cardinal characteristics at a supercompact kappa

Andrew D Brooke-Taylor (Speaker)

Activity: Participating in or organising an event typesInvited talk

Description

New York Set Theory Seminar talk: A nice model for cardinal characteristics at a supercompact kappa

Abstract: In a throw-away comment in a relatively recent preprint, Garti and Shelah state that using the technique of Dzamonja and Shelah, one can start with a model of set theory containing a supercompact cardinal κ, and force to obtain a model in which κ remains supercompact, 2^κ is large, but the ultrafilter number at κ is only κ+. I will present this construction, and with it further results from joint work with Vera Fischer and Diana Montoya pinning down many other generalized cardinal characteristics at κ in the resulting model.
Period5 Dec 2014
Event typeSeminar

Keywords

  • set theory
  • large cardinal axioms