PRECOMPACT SUBSETS IN PARATOPOLOGICAL GROUPS
Corresponding Author(s) : Ong Van Tuyen
UED Journal of Social Sciences, Humanities and Education,
Vol. 7 No. 3 (2017): UED JOURNAL OF SOCIAL SCIENCES, HUMANITIES AND EDUCATION
paratopological group is a group with a topology such that the product map is defined with for every that is continuous. Recently, paratopological groups have been studied by many authors who have raised many open questions that have yet to be answered. Furthermore, in , A. V. Arhangel'skii and M. Tkachenko introduced precompact subsets in topological groups and proved that if and are precompact subsets of a topological group then is precompact in In this article, we extend this result on paratopological groups.
Key words: topological group; paratopological group; precompact subset; finite subset; product map.
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