Dilip Raghavan: Real games and strategically selective coideals, Part 2.

Invitation to the Logic Seminar at the National University of Singapore

Date: Wednesday, 7 October 2015, 17:00 hrs

Room: S17#04-06, Department of Mathematics, NUS

Speaker: Dilip Raghavan

Title: Real games and strategically selective coideals, Part 2.

URL: http://www.comp.nus.edu.sg/~fstephan/logicseminar.html

A classical theorem of Mathias says that the Axiom of Determinacy for
Real games (AD_R) implies that there are no tall selective coideals on
omega. Farah introduced the notion of a semiselective coideal and
proved in ZF that these are precisely those ideals on omega whose
quotient adds a selective ultrafilter. It is unkown whether AD_R
implies the non-existence of tall semiselective coideals. We introduce
the notion of strategically selective coideal, and show that tall
strategically selective coideals do not exist under AD_R. The Axiom of
Choice implies that the notions of semiselective and strategically
selective coideal coincide.
This talk is a continuation of the talk from 16/09/2015 and will
provide more mathematical details and selected proofs.
This is joint work with Paul Larson.

Leave a Reply

Your email address will not be published. Required fields are marked *

Time limit is exhausted. Please reload CAPTCHA.