Mathematics – General Topology
Scientific paper
2009-11-20
Appl. Gen. Top. 5:1 (2004), 25--48
Mathematics
General Topology
Scientific paper
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.
Banakh Taras
Zdomskyy Lyubomyr
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