On semi generalized star \(b\)- Connectedness and semi generalized star \(b\) - Compactness in topological spaces

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DOI:

https://doi.org/10.26637/mjm501/013

Abstract

In this paper, the authors introduce a new type of connected spaces called semi generalized star \(b\) - connected spaces (briefly \(s g^* b\)-connected spaces) in topological spaces. The notion of semi generalized star \(b\) - compact spaces is also introduced (briefly \(s g^* b\)-compact spaces) in topological spaces. Some characterizations and several properties concerning \(s g^* b\)-connected spaces and \(s g^* b\)-compact spaces are obtained.

Keywords:

\(sg^*b\)-closed sets

Mathematics Subject Classification:

54C05, 54C08, 54C10
  • S. Sekar Department of Mathematics, Government Arts College (Autonomous), Salem – 636 007, Tamil Nadu, India.
  • B. Jothilakshmi Department of Mathematics, Government Arts College (Autonomous), Coimbatore – 641 045, Tamil Nadu, India.
  • Pages: 143-148
  • Date Published: 01-01-2017
  • Vol. 5 No. 01 (2017): Malaya Journal of Matematik (MJM)

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Published

01-01-2017

How to Cite

S. Sekar, and B. Jothilakshmi. “On Semi Generalized Star \(b\)- Connectedness and Semi Generalized Star \(b\) - Compactness in Topological Spaces”. Malaya Journal of Matematik, vol. 5, no. 01, Jan. 2017, pp. 143-8, doi:10.26637/mjm501/013.