Partitions on topological spaces and a club-like principle, part 1

Seminar
Speaker
Rodrigo Rey Carvalho (BIU)
Date
27/10/2022 - 16:00 - 14:00Add to Calendar 2022-10-27 14:00:00 2022-10-27 16:00:00 Partitions on topological spaces and a club-like principle, part 1 In this talk we explore some results from P. Komjáth and W. Weiss from the paper "Partitioning topological spaces in countably many pieces". First we address a problem found on a proof of a theorem, regarding the Cantor-Bendixson decomposition. Then we revisit an example from this paper made with $\diamondsuit$ and present a new example with the same purpose, but without the use of CH. For this we introduce the new principle $\clubsuit_{F}$. This talk will cover the contents of a joint work with G. Fernandes and L. Junqueira Building 505, Room 62 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Building 505, Room 62
Abstract

In this talk we explore some results from P. Komjáth and W. Weiss from the paper "Partitioning topological spaces in countably many pieces". First we address a problem found on a proof of a theorem, regarding the Cantor-Bendixson decomposition. Then we revisit an example from this paper made with $\diamondsuit$ and present a new example with the same purpose, but without the use of CH. For this we introduce the new principle $\clubsuit_{F}$. This talk will cover the contents of a joint work with G. Fernandes and L. Junqueira

Last Updated Date : 29/10/2022