Some Results on Semi-Compactness

Navpreet Singh Noori; Sandeep Kaur

doi:https://doi.org/10.14445/22315373/IJMTT-V12P507

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 12 | Number 1 | Year 2014 | Article Id. IJMTT-V12P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V12P507

Some Results on Semi-Compactness

Navpreet Singh Noori, Sandeep Kaur

Abstract

We give necessary and sufficient conditions for a semi-regular space to be semi-compact and for a map to be semi-compact preserving (semi-compact) when domain (co-domain) of map is SCS.

Keywords

Semi-compact, Semi-cluster, Semi-regular, Semi-convergence

References

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[3] Dorsett, C., Semi-regular spaces, Soochow J. Math. 8(1982), 45-53.
[4] Levine. M., Semi-open sets and semi-continuity in topological spaces, Arner. Math.monthly, 70 (1963), 36-41.
[5] Modak, Shyamapada., Remarks on Dense Set, International Mathematical Forum, 6 (2011) (44), 2153-2158.
[6] Sarsak, M.S., On Semi-compact Sets and Associated Properties, International Journal of Mathematics and Mathematical Sciences, 2009 (2009), Article ID 465387, 8 pages.
[7] Wilansky, A., Topology for Analysis, Ginn and Company, (1970).

Citation :

Navpreet Singh Noori, Sandeep Kaur, "Some Results on Semi-Compactness," International Journal of Mathematics Trends and Technology (IJMTT), vol. 12, no. 1, pp. 44-46, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V12P507