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Sem. Topologia i T. Mnogości

 

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


Prelegent: Witold Marciszewski

2022-11-30 16:15

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.