Anti-basis theorems for higher Aronszajn lines, part 9

Seminar
Speaker
Assaf Rinot
Date
21/10/2024 - 18:00 - 16:00Add to Calendar 2024-10-21 16:00:16 2024-10-21 18:00:18 Anti-basis theorems for higher Aronszajn lines, part 9 We prove that the conclusion of Theorem A from our preprint holds true also for mu an ineffable cardinal. In particular, for every regular uncountable cardinal mu, if there is a special Aronszajn tree of height mu^+, then there is one satisfying a very strong negative partition relation. Seminar room אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Seminar room
Abstract

We prove that the conclusion of Theorem A from our preprint holds true also for mu an ineffable cardinal. In particular, for every regular uncountable cardinal mu, if there is a special Aronszajn tree of height mu^+, then there is one satisfying a very strong negative partition relation.

Last Updated Date : 21/10/2024