UGC Approved Journal no 63975(19)

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Published in:

Volume 6 Issue 2
February-2019
eISSN: 2349-5162

UGC and ISSN approved 7.95 impact factor UGC Approved Journal no 63975

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Published Paper ID:
JETIRAB06139


Registration ID:
197778

Page Number

731-735

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Title

ρ-T_0 AND ρ-T_1 SPACES IN TOPOLOGICAL SPACES

Abstract

A subset A of a space (X,τ) is said to be ρ-closed if pcl(A)⊆Int(U) whenever A⊆U and U is g ̃-open in (X,τ). The complement of ρ-closed set is ρ-open set. A function f:(X,τ)→(Y,σ) is said to be ρ-continuous if f^(-1) (V) is ρ-closed in (X,τ) for every closed set V in (Y,σ). A function f:(X,τ)→(Y,σ) is said to be ρ-irresolute if f^(-1) (V) is ρ-closed in (X,τ) for every ρ-closed set V in (Y,σ). In this paper, we introduce two new topological spaces namely ρ-T_0 and ρ-T_1 spaces via ρ-open sets. Also we characterize their properties.

Key Words

ρ-closed set, ρ-open set, ρ-T_0 space, ρ-T_1 space, ρ-D set, ρ-symmetric and ρ-kernel.

Cite This Article

"ρ-T_0 AND ρ-T_1 SPACES IN TOPOLOGICAL SPACES", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.731-735, February-2019, Available :http://www.jetir.org/papers/JETIRAB06139.pdf

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2349-5162 | Impact Factor 7.95 Calculate by Google Scholar

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Cite This Article

"ρ-T_0 AND ρ-T_1 SPACES IN TOPOLOGICAL SPACES", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp731-735, February-2019, Available at : http://www.jetir.org/papers/JETIRAB06139.pdf

Publication Details

Published Paper ID: JETIRAB06139
Registration ID: 197778
Published In: Volume 6 | Issue 2 | Year February-2019
DOI (Digital Object Identifier):
Page No: 731-735
Country: -, -, - .
Area: Engineering
ISSN Number: 2349-5162
Publisher: IJ Publication


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