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math.GN2009
The topological structure of (homogeneous) spaces and groups with countable cs*-character
Taras Banakh, Lyubomyr Zdomskyy
In this paper we introduce and study three new cardinal topological invariants called the cs*, cs-, and sb-characters. The class of topological spaces with countable cs*-character…
math.GN2009★ 7 cited
o-Boundedness of free topological groups
Taras Banakh, Dušan Repovš, Lyubomyr Zdomskyy
Assuming the absence of Q-points (which is consistent with ZFC) we prove that the free topological group over a Tychonov space is -bounded if and only if every contin…