Pre-open and pre-closed sets in a topological space

Reema  Bahan; R N Pandey

doi:10.48165/

Pre-open and pre-closed sets in a topological space

Authors

Reema Bahan Department of Mathematics, Government Women’s Ploytechnic, Patna, India.
R N Pandey Department of Mathematics, Patna University, Patna, India.

DOI:

https://doi.org/10.48165/

Keywords:

pre-closed set, pre-open set, Cantor’s intersection theorem, topological space

Abstract

In this paper we use the notion of pre-open sets and pre-closed sets in topological space to prove the Cantor’s intersection theorem for pre-closed sets.

References

Kelley, J.L. (1995). General Topology, Van. Nostrand Princeton, N.J.

Levine, N. (1963). Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70 , 36–41.

Lahiri, B.K., Das, P. and Dey, L.K. (2011). Cantor’s theorem in 2 metric spaces and its applications to fixed point theorems, Taiwanese Journal of Mathematics, 15(1), 337–352.

Talal, Al Hawato (2011). Generalised pre-open sets, Question-Answers General Topology, 29(1), 73–80 .

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Published

2020-12-26

Issue

Vol. 39 No. 2 (2020): Bull. Pure Appl. Sci. Sect. E Math. Stat. (Jul-Dec) 2020

Section

Articles

How to Cite

Bahan, R., & Pandey, R.N. (2020). Pre-open and pre-closed sets in a topological space . Bulletin of Pure & Applied Sciences- Mathematics and Statistics, 39(2), 309–311. https://doi.org/10.48165/