Article ID Journal Published Year Pages File Type
4658748 Topology and its Applications 2014 5 Pages PDF
Abstract

In this paper, we prove that a quasitopological group is semi-metrizable if and only if it is first-countable. We also construct an example of quasitopological group to give a partial answer to Open Problem 4.6.9 in [A.V. Arhangelʼskii, M.G. Tkachenko, Topological Groups and Related Structures, Atlantis Press, World Scientific, 2008].

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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