29 citations · 39 across the 3 of their papers we have counts for
4 papers · 1 filter
Compactness properties defined by open-point games
Alejandro Dorantes-Aldama, Dmitri Shakhmatov
Let S be a topological property of sequences (such as, for example, "to contain a convergent subsequence" or "to have an accumulation point"). We introduce the following open-point…
Selectively sequentially pseudocompact group topologies on torsion and torsion-free Abelian groups
Alejandro Dorantes-Aldama, Dmitri Shakhmatov
A space X is selectively sequentially pseudocompact if for every sequence (U_n) of non-empty open subsets of X, one can choose a point x_n in each U_n in such a way that the sequen…
Selective sequential pseudocompactness
Alejandro Dorantes-Aldama, Dmitri Shakhmatov
We say that a topological space X is selectively sequentially pseudocompact (SSP for short) if for every sequence (U_n) of non-empty open subsets of X, one can choose a point x_n i…
Completeness and compactness properties in metric spaces, topological groups and function spaces
Alejandro Dorantes-Aldama, Dmitri Shakhmatov
We prove that many completeness properties coincide in metric spaces, precompact groups and dense subgroups of products of separable metric groups. We apply these results to functi…