ON SEQUENTIAL TOPOLOGICAL GROUPS
Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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. , 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
-
sequential spaces,
topological groups