Reflecting topological spaces through elementary submodels, part 1

Seminar
Speaker
Rodrigo Rey Carvalho (BIU)
Date
22/06/2023 - 16:00 - 14:00Add to Calendar 2023-06-22 14:00:00 2023-06-22 16:00:00 Reflecting topological spaces through elementary submodels, part 1 In this series of talks I will present the notion of $X_M$, that is, a topological space $X$ as seen through an elementary submodel $M$. This concept first appeared in the paper ``The topology of elementary submodels", by L. Junqueira and F. Tall. One of the central topics of this field is to question whether topological properties can be preserved through this operation, both ``upwards" and ``downwards".  I will focus on covering properties, giving a panorama of where we stand currently, presenting some results I obtained during my Ph.D. Building 504, room 1 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Building 504, room 1
Abstract

In this series of talks I will present the notion of $X_M$, that is, a topological space $X$ as seen through an elementary submodel $M$. This concept first appeared in the paper ``The topology of elementary submodels", by L. Junqueira and F. Tall. One of the central topics of this field is to question whether topological properties can be preserved through this operation, both ``upwards" and ``downwards".  I will focus on covering properties, giving a panorama of where we stand currently, presenting some results I obtained during my Ph.D.

Last Updated Date : 21/06/2023