ON SEQUENTIAL TOPOLOGICAL GROUPS

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Sakarya University)
Ersoy, Soley (Department of Mathematics, Sakarya University)

Ince, Ibrahim, & Ersoy, Soley. (2018). ON SEQUENTIAL TOPOLOGICAL GROUPS. 한국수학교육학회지시리즈B:순수및응용수학, 25(4), 243-252, https://doi.org/10.7468/jksmeb.2018.25.4.243

복사

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: sequential spaces, topological groups

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Vol.25 No.4

ON SEQUENTIAL TOPOLOGICAL GROUPS

ON SEQUENTIAL TOPOLOGICAL GROUPS

Abstract

한국수학교육학회지시리즈B:순수및응용수학