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Author Banakh, Taras ♦ Zdomskyy, Lyubomyr
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2009-11-20
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - General Topology ♦ Mathematics - Group Theory ♦ 54H11 ♦ 54A35 ♦ 54A25 ♦ 54D55 ♦ 22A05 ♦ 54A20 ♦ math
Abstract 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 is closed under many topological operations and contains all aleph-spaces and all spaces with point-countable cs*-network. Our principal result states that each non-metrizable sequential topological group with countable cs*-character has countable pseudo-character and contains an open $k_\omega$-subgroup.
Description Reference: Appl. Gen. Top. 5:1 (2004), 25--48
Educational Use Research
Learning Resource Type Article


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