Lyubomyr Zdomskyy
A new Lindelof topological group.
Thu, 02/25/2010 - 16:01 — SomNambulAuthors: Dusan Repovs, Lyubomyr Zdomskyy
Subjects: General Topology
AbstractWe show that the subsemigroup of the product of w_1-many circles generated by
the L-space constructed by J. Moore is again an L-space. This leads to a new
example of a Lindelof topological group. The question whether all finite powers
of this group are Lindelof remains open.The topological structure of (homogeneous) spaces and groups with countable cs*-character.
Mon, 11/23/2009 - 16:01 — SomNambulAuthors: Taras Banakh, Lyubomyr Zdomskyy
Subjects: General Topology
AbstractIn 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.
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