Seminarium:
Topologia
Osoba referująca:
Krzysztof Zakrzewski (MIM UW)
Data:
wtorek, 16. Kwiecień 2024 - 17:00
Sala:
room A.4.1 C-19, Politechnika Wrocławska
Opis:
Recall that a compact space is Eberlein compact if it is homeomorphic
to a subspace of some Banach space equipped with the weak topology. A
compact space is \omega-Corson compact if it embeds into a
\sigma-product of real lines, that is a subspace of the product
R^{\Gamma} consisting of sequences with finitely many nonzero
coordinates for some set \Gamma.
Every \omega-Corson compact space is Eberlein compact. For a Tichonoff
space X, let Cp(X) denote the space of real continuous functions on X
endowed with the pointwise convergence topology.
During the talk we will show that the class \omega-Corson compact
spaces K is invariant under linear homeomorphism of function spaces
Cp(K) and other related results.