Arhangelskii, A.V.(Universitat Politècnica de València, 2000-10-01)
[EN] A (binary) product operation on a topological space X is considered. The only restrictions are that some element e of X is a left and a right identity with respect to this multiplication, and that certain natural ...
Bardyla, Serhii; Ravsky, Alex(Universitat Politècnica de València, 2020-10-01)
[EN] We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact ...
[EN] A subset Y of the dual closed unit ball B_{E*} of a Banach space E is called a Rainwater set for E if every bounded sequence of E that converges pointwise on Y converges weakly in E. In this paper, topological properties ...