Kurt Gödel Research Center

2013 seminar talk: Chain conditions for topological bases

Talk held by Santi Spadaro (Silesian University of Opava, Czech Republic) at the KGRC seminar on 2013-06-28.

Abstract

We will speak about joint work with Menachem Kojman and Dave Milovich on a class of topological cardinal invariants capturing base properties studied by the Russian school since the seventies. We will discuss analogies and differences between these cardinal invariants and the "cellularity" of a topological space, that is the supremum of the sizes of families of pairwise disjoint non-empty open sets. We will discuss their behavior in products and independence phenomena regarding their value on box products.