ON SEQUENTIAL TOPOLOGICAL GROUPS
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2018, v.25 no.4, pp.243-252
https://doi.org/10.7468/jksmeb.2018.25.4.243
Ince, Ibrahim
Ersoy, Soley
Ince,,
I.
, &
Ersoy,,
S.
(2018). ON SEQUENTIAL TOPOLOGICAL GROUPS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 25(4), 243-252, https://doi.org/10.7468/jksmeb.2018.25.4.243
Abstract
In this paper, we study the sequentially open and closed subsets of sequential topological groups determined by sequentially continuous group homomorphism. In particular, we investigate the sequentially openness (closedness) and sequentially compactness of subsets of sequential topological groups by the aid of sequentially continuity, sequentially interior or closure operators. Moreover, we explore subgroup and sequential quotient group of a sequential topological group.
- keywords
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sequential spaces,
topological groups