Some higher separation axioms in soft Cech closure spaces

2015 ◽  
Vol 10 ◽  
pp. 519-525
Author(s):  
R. Gowri ◽  
G. Jegadeesan
Keyword(s):  
Separation Axioms ◽  
Closure Spaces

scholarly journals Some Variants of Strong Normality in Closure Spaces Generated via Relations

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Ria Gupta ◽  
Ananga Kumar Das
Keyword(s):  
Binary Relation ◽  
Normal Closure ◽  
Separation Axioms ◽  
Closure Spaces ◽  
Strong Normality

In this paper, some variants of strongly normal closure spaces obtained by using binary relation are introduced, and examples in support of existence of the variants are provided by using graphs. The relationships that exist between variants of strongly normal closure spaces and covering axioms in absence/presence of lower separation axioms are investigated. Further, closure subspaces and preservation of the properties studied under mapping are also discussed.

scholarly journals Lower Separation Axioms in C ̌ech Fuzzy Soft Closure Spaces

2019 ◽  
Vol 32 (4) ◽  
pp. 1254-1269
Author(s):  
Rasha MAJEED ◽  
Lina MAIBED
Keyword(s):  
Separation Axioms ◽  
Closure Spaces

On some lower soft separation axioms

2020 ◽  
Vol 19 (1) ◽  
pp. 61-72
Author(s):  
S. Saleh ◽  
Kul Hur
Keyword(s):  
Separation Axioms

Investigation of Limit Points and Separation Axioms Using Supra $\beta$-Open Sets

2020 ◽  
Vol 32 (2) ◽  
pp. 171-187
Author(s):  
T. M. Al-Shami ◽  
E. A. Abo-Tabl ◽  
B. A. Asaad
Keyword(s):  
Separation Axioms ◽  
Limit Points

scholarly journals £-Single Valued Extremally Disconnected Ideal Neutrosophic Topological Spaces

Symmetry ◽  
2020 ◽  
Vol 13 (1) ◽  
pp. 53
Author(s):  
Fahad Alsharari
Keyword(s):  
Topological Spaces ◽  
Neutrosophic Sets ◽  
Extremally Disconnected ◽  
Fundamental Properties ◽  
Separation Axioms ◽  
New Concepts ◽  
Definition Of

This paper aims to mark out new concepts of r-single valued neutrosophic sets, called r-single valued neutrosophic £-closed and £-open sets. The definition of £-single valued neutrosophic irresolute mapping is provided and its characteristic properties are discussed. Moreover, the concepts of £-single valued neutrosophic extremally disconnected and £-single valued neutrosophic normal spaces are established. As a result, a useful implication diagram between the r-single valued neutrosophic ideal open sets is obtained. Finally, some kinds of separation axioms, namely r-single valued neutrosophic ideal-Ri (r-SVNIRi, for short), where i={0,1,2,3}, and r-single valued neutrosophic ideal-Tj (r-SVNITj, for short), where j={1,2,212,3,4}, are introduced. Some of their characterizations, fundamental properties, and the relations between these notions have been studied.

scholarly journals Separation Axioms with Grill-Topological Open Set

2021 ◽  
Vol 1879 (2) ◽  
pp. 022107
Author(s):  
R B Esmaeel ◽  
M O Mustafa
Keyword(s):  
Open Set ◽  
Separation Axioms

scholarly journals Some Variants of Normal Čech Closure Spaces via Canonically Closed Sets

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1225
Author(s):  
Ria Gupta ◽  
Ananga Kumar Das
Keyword(s):  
Closure Space ◽  
Closed Sets ◽  
Closure Spaces

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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