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Selection principles: \(s\)-Menger and \(s\)-Rothberger-bounded groups. (English) Zbl 1507.22003

Summary: In this paper, selection principles are defined and studied in the realm of irresolute topological groups. Especially, \(s\)-Menger-bounded and \(s\)-Rothberger-bounded type covering properties are introduced and studied.

MSC:

22A05 Structure of general topological groups
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
03E75 Applications of set theory
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