# On \omega-Corson compact spaces and related classes of Eberlein compacta

- Speaker(s)
**Witold Marciszewski**- Affiliation
- University of Warsaw
- Date
- Nov. 30, 2022, 4:15 p.m.
- Room
- room 5050
- Seminar
- Topology and Set Theory Seminar

Recall that a compact space K is Eberlein compact if it can be embedded into some Banach space X equipped with the weak topology. A compact space K is \omega-Corson compact if, for some set \Gamma, K is homeomorphic to a subset of the \sigma-product of real lines \sigma(R^\Gamma), i.e. the subspace of the product R^\Gamma consisting of functions with finite supports. Clearly, every \omega-Corson compact space is Eberlein compact. We will present a characterization of \omega-Corson compact spaces, and some other results concerning this class of spaces and related classes of Eberlein compacta. This is a joint research with Grzegorz Plebanek and Krzysztof Zakrzewski.