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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… Click to show full 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, Topological Groups and Related Structures, Atlantis Press and World Scientific, 2008] in the case of paratopological groups. We also consider the conditions under which 2-pseudocompactness is a three space property in paratopological groups.
Keywords:
local versus;
topology;
groups local;
paratopological groups;
versus global
Journal Title: Topology and its Applications
Year Published: 2020
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Journal Title: Topology and its Applications
Year Published: 2020
Link to full text (if available)
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recommendations!