שלחו לחבר

S spaces and L spaces, part 2

Seminar
Speaker
Roy Shalev (BIU)
Date
23/12/2020 - 16:00 - 14:00
Place
zoom
Abstract
We introduce a new combinatorial principle which we call ♣_AD. This principle asserts the existence of a certain multi-ladder system with guessing and almost-disjointness features, and is shown to be sufficient for carrying out de Caux type constructions of topological spaces.
Our main result states that strong instances of ♣_AD follow from the existence of a Souslin tree.  As an application, we obtain a simple, de Caux type proof of Rudin’s result that if there is a Souslin tree, then there is an S-space which is Dowker.

 

תאריך עדכון אחרון : 21/12/2020