Korean J. Math. Vol. 29 No. 3 (2021) pp.555-561
DOI: https://doi.org/10.11568/kjm.2021.29.3.555

On countably $g$-compactness and sequentially GO-compactness

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Published: Sep 30, 2021
Keywords:
g-open, countably g-compact and sequentially GO-compact, GO-compact and g-sequential space.
Mathematics Subject Classification:
54A05, 54A20.

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Vijayashanthi Palanichamy
Ayya Nadar Janaki Ammal College (Autonomous, affiliated to Madurai Kamaraj Univeristy), Sivakasi 626124, Tamilnadu, India.
J. Kannan
Ayya Nadar Janaki Ammal College (Autonomous, affiliated to Madurai Kamaraj Univeristy), Sivakasi 626124, Tamilnadu, India.

Abstract

In this paper, we investigate some properties of countably $g$-compact and sequentially GO-compact spaces. Also, we discuss the relation between countably $g$-compact and sequentially GO-compact. Next, we introduce the definition of $g$-subspace and study the characterization of $g$-subspace.



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