Ferrer, Jesús; Kakol, Jerzy; López Pellicer, Manuel; Wójtowicz, Marek(Adam Mickiewicz University The Faculty of Mathematics and Computer Science, 2011)
[EN] Corson's example shows that there exists a Banach space EE which is not weakly normal but EE contains a closed subspace isomorphic to the Banach space C[0,1]C[0,1] and such that the quotient space E/C[0,1]E/C[0,1] is ...
Using the index of Nagami we get new topological cardinal inequalities for spaces Cp(X).
A particular case of Theorem 1 states that if L ⊆ Cp(X) is a Lindelöf Σ-space and the
Nagami index Nag(X) of X is less or equal ...
Jardón Arcos, Daniel; Tkachuk, Vladimir V.(Universitat Politècnica de València, 2006-10-01)
[EN] We study spaces X which have a countable outer base in βX; they are called ultracomplete in the most recent terminology. Ultracompleteness implies Cech-completeness and is implied by almost local compactness (≡having ...