Strongly Soft 𝒈 ∗∗ -Closed Sets In Soft 𝑪 𝒆𝒄𝒉 Closure Space

New generalizations of normality in Čech closure space such as π-normal, weakly π-normal and κ-normal are introduced and studied using canonically closed sets. It is observed that the class of κ-normal spaces contains both the classes of weakly π-normal and almost normal Čech closure spaces.

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Representation of bifinite domains by BF-closure spaces

Mathematica Slovaca ◽

10.1515/ms-2021-0004 ◽

2021 ◽

Vol 71 (3) ◽

pp. 565-572

Author(s):

Lingjuan Yao ◽

Qingguo Li

Keyword(s):

Continuous Functions ◽

Closure Space ◽

Closed Sets ◽

Set Inclusion ◽

Closure Spaces ◽

Scott Continuous

Abstract In this paper, we propose the notion of BF-closure spaces as concrete representation of bifinite domains. We prove that every bifinite domain can be obtained as the set of F-closed sets of some BF-closure space under set inclusion. Furthermore, we obtain that the category of bifinite domains and Scott-continuous functions is equivalent to that of BF-closure spaces and F-morphisms.

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A New Approach On gr*-Closed Sets in Ideal Topological Spaces

Asian Journal of Current Engineering and Maths ◽

10.15520/ajcem.2014.vol3.iss5.9.pp59-62. ◽

2014 ◽

Vol 3 (5) ◽

Keyword(s):

Topological Spaces ◽

New Approach ◽

Closed Sets

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Generalized Closed Sets and Some Separation Axioms On Weak Structure

Hacettepe Journal of Mathematics and Statistics ◽

10.15672/hjms.2015449748 ◽

2015 ◽

Vol 6 (1108) ◽

Cited By ~ 1

Author(s):

A. M. Zahran

Keyword(s):

Closed Sets ◽

Separation Axioms ◽

Weak Structure

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Generalized ʎ-Closed Sets and (ʎ-ʏ)*-Continuous Function

Journal of Garmian University ◽

10.24271/garmian.121 ◽

2017 ◽

Vol 4 (ICBS Conference) ◽

pp. 1-17 ◽

Cited By ~ 1

Author(s):

Alias Khalaf ◽

Sarhad Nami

Keyword(s):

Continuous Function ◽

Closed Sets

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ON ir-CLOSED SETS IN TOPOLOGICAL SPACES

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.9.5.20 ◽

2020 ◽

Vol 9 (5) ◽

pp. 2573-2582

Author(s):

A. M. Anto ◽

G. S. Rekha ◽

M. Mallayya

Keyword(s):

Topological Spaces ◽

Closed Sets

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ON A NEW CLASS OF SEMI GENERALIZED CLOSED SETS IN STRONG GENERALIZED TOPOLOGICAL SPACES

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.9.11.41 ◽

2020 ◽

Vol 9 (11) ◽

pp. 9353-9360

Author(s):

G. Selvi ◽

I. Rajasekaran

Keyword(s):

Topological Spaces ◽

Closed Set ◽

Basic Properties ◽

Closed Sets ◽

New Class ◽

Open Set ◽

Continuous Maps

This paper deals with the concepts of semi generalized closed sets in strong generalized topological spaces such as $sg^{\star \star}_\mu$-closed set, $sg^{\star \star}_\mu$-open set, $g^{\star \star}_\mu$-closed set, $g^{\star \star}_\mu$-open set and studied some of its basic properties included with $sg^{\star \star}_\mu$-continuous maps, $sg^{\star \star}_\mu$-irresolute maps and $T_\frac{1}{2}$-space in strong generalized topological spaces.

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