Notions of β-closure compatible topology with an ideal-Reference-Cited by-同舟云学术

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Notions of β-closure compatible topology with an ideal

Published:2024-04-18 Issue: Volume:41 Page:1-11
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:
Short-container-title:B Soc Paran Mat

Author:

Beulah V.^ORCID,Theodore Jessie^ORCID,Premalath D.^ORCID

Abstract

In this paper, we have defined β-local closure function. Its properties and characterizations are analyzed. The set operator is defined and its properties are discussed. The notions of β-closure compatible topology with an ideal are introduced and investigated. Moreover, dense set and -codense ideal are defined and explored.

Publisher

Sociedade Paranaense de Matemática

Reference17 articles.

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3. Andrijevic. D, Semi-preopen sets, Mat. Vesnik, Vol.38, (1986), 24-32.

4. Belal Nairat, On Some Properties of B-open sets, International Journal of Applied Engineering Research, Vol.13, No.6, (2018), 3670-3672.

5. Dlaska. K, Ergun. N and Ganster. M, On the topology generated by semi-regular sets, Indian J. Pure Appl. Math., Vol.25 (1994), no.11, 1163 – 1170.

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