The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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ON SEQUENTIAL TOPOLOGICAL GROUPS

  • Ince, Ibrahim (Department of Mathematics, Sakarya University) ;
  • Ersoy, Soley (Department of Mathematics, Sakarya University)
  • Received : 2017.09.14
  • Accepted : 2018.10.11
  • Published : 2018.11.30
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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.

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References

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