IJPAM: Volume 102, No. 1 (2015)

ON HYPERCLOSED SETS

Navpreet Singh Noorie$^1$, Anakh Singh$^{2}$
$^{1,2}$Department of Mathematics
Punjabi University
Patiala, 147002, INDIA


Abstract. In this paper we introduce hyperclosed sets and study properties of hyper-closure and hyper-interior of a set. We also obtain characterizations of some of the well known separation axioms in topology like regular, Urysohn, $T_1$ etc. in terms of these sets.

Received: October 22, 2014

AMS Subject Classification: 54D10, 54D15, 54D30, 54D99

Key Words and Phrases: hyperclosed, hyperopen, hyper-closure, hyper-interior, $\theta$-closure, $S_{2 \frac{1}{2}}$, regular, almost regular

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DOI: 10.12732/ijpam.v102i1.4 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 102
Issue: 1
Pages: 39 - 50


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