Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces

Muhammad Qasim; Bin Pang

doi:10.15672/hujms.740593

Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces

Muhammad Qasim, Bin Pang^*

^*Corresponding author for this work

School of Mathematics and Statistics

National University of Sciences and Technology Pakistan

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In previous papers, several T₀ and Hausdorff objects in topological categories are introduced and compared. The main objectives of this paper are to characterize T₀, T₀, T₁ and pre-T₂ objects in the category of quantale-valued closure space as well as to examine their mutual relationship.

Original language	English
Pages (from-to)	612-623
Number of pages	12
Journal	Hacettepe Journal of Mathematics and Statistics
Volume	50
Issue number	3
DOIs	https://doi.org/10.15672/hujms.740593
Publication status	Published - 7 Jun 2021

Keywords

Hausdorff objects
Separation
Topological category
V-closure space
V-topological space

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10.15672/hujms.740593

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abstract = "In previous papers, several T0 and Hausdorff objects in topological categories are introduced and compared. The main objectives of this paper are to characterize T0, T0, T1 and pre-T2 objects in the category of quantale-valued closure space as well as to examine their mutual relationship.",

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AB - In previous papers, several T0 and Hausdorff objects in topological categories are introduced and compared. The main objectives of this paper are to characterize T0, T0, T1 and pre-T2 objects in the category of quantale-valued closure space as well as to examine their mutual relationship.

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KW - Separation

KW - Topological category

KW - V-closure space

KW - V-topological space

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Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces

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Keywords

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