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World Journal of Engineering Research and Technology

( An ISO 9001:2015 Certified International Journal )

An International Peer Reviewed Journal for Engineering Research and Technology

An Official Publication of Society for Advance Healthcare Research (Reg. No. : 01/01/01/31674/16)

ISSN 2454-695X

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Abstract

-ZERO SETS AND THEIR PROPERTIES IN TOPOLOGY

Govindappa Navalagi*

ABSTRACT

In 1990, Malghan et al. have defined and studied the concepts of almost p-regular, p-completely regular and almost p-completely regular spaces. In 1997 & 2004, Malghan et al. have defined and studied the concepts of almost s-completely regular spaces and s-completely regular spaces. In 2010, Navalagi introduced the concepts of pre-zero sets and co-pre-zero sets to characterize the concepts of p-completely regular spaces and almost p-completely regular spaces. In this paper, we offer some new concepts of ?-zero sets, co-?-zero sets, ?-completely regular spaces and almost ?-completely regular spaces. We also characterize their basic properties via ?-zero sets.

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