Paratopological groups: Local versus global
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DOI: 10.1016/j.topol.2020.107424
Abstract: Abstract In this paper, one example is constructed to show that locally metrizable paratopological groups might be neither paracompact nor normal. It gives negative answers to two questions posed in [A. Arhangel'skii and M. Tkachenko,… read more here.
Keywords: local versus; topology; groups local; paratopological groups ... See more keywords
Paratopological groups with countable strong Hausdorff number
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DOI: 10.1016/j.topol.2020.107539
Abstract: Abstract This paper is dedicated to Professor Jinjin Li on the occasion of his 60th anniversary. In this paper, a new cardinal function called the strong Hausdorff number in semitopological groups is introduced. We mainly… read more here.
Keywords: paratopological groups; strong hausdorff; countable strong; hausdorff number ... See more keywords
Cross-complementary subsets in paratopological groups
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DOI: 10.15672/hjms.2018.647
Abstract: The following general question is considered by A.V. Arhangel’skiˇi [Perfect mappings in topological groups, cross-complementary subsets and quotients, Comment. Math.Univ.Carolin., 2003]. Suppose that G is a topological group, and F,M are subspaces of G such… read more here.
Keywords: complementary subsets; arhangel ski; topological groups; cross complementary ... See more keywords