The topological structure of (homogeneous) spaces and groups with countable cs*-character
General Topology
2011-08-23 v1 Group Theory
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 -subgroup.
Keywords
Cite
@article{arxiv.0911.4075,
title = {The topological structure of (homogeneous) spaces and groups with countable cs*-character},
author = {Taras Banakh and Lyubomyr Zdomskyy},
journal= {arXiv preprint arXiv:0911.4075},
year = {2011}
}