On Nano (1,2)* Generalized - Closed Sets in Nano Bitopological Space

A new kind of generalization of (1, 2)*-closed set, namely, (1, 2)*-locally closed set, is introduced and using (1, 2)*-locally closed sets we study the concept of (1, 2)*-LC-continuity in bitopological space. Also we study (1, 2)*-contracontinuity and lastly investigate its relationship with (1, 2)*-LC-continuity.

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Neutrosophic Soft Tri-Topological Spaces

International Journal of Neutrosophic Science ◽

10.54216/ijns.150202 ◽

2021 ◽

Author(s):

Hasan Dadas ◽

◽

Sibel Demiralp ◽

Keyword(s):

Topological Space ◽

Topological Spaces ◽

Bitopological Space ◽

Basic Properties ◽

Closed Sets

In this study, the concept of neutrosophic soft tri-topological space is defined as a generalization of neutrosophic soft bitopological space. Then neutrosophic soft tri-open and tri-closed sets are defined and in this space. Also, some basic properties of these new types of open and closed sets are investigated and supported by many examples to further clarify the study.

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Generalized fuzzy closed sets in a fuzzy bitopological space via $$\gamma $$-open sets

Afrika Matematika ◽

10.1007/s13370-020-00829-7 ◽

2020 ◽

Author(s):

Birojit Das ◽

Baby Bhattacharya ◽

Jayasree Chakraborty ◽

Binod Chandra Tripathy

Keyword(s):

Bitopological Space ◽

Closed Sets

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Strongly (1,2)( ĝ )* Closed Sets In Bitopological Space

International Journal of Mathematics Trends and Technology ◽

10.14445/22315373/ijmtt-v65i6p506 ◽

2019 ◽

Vol 65 (6) ◽

pp. 32-40

Author(s):

Kulandhai Therese ◽

Dilshad B

Keyword(s):

Bitopological Space ◽

Closed Sets

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Pairwise complete regularity as a separation axiom

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics ◽

10.1017/s1446788700035667 ◽

1990 ◽

Vol 48 (2) ◽

pp. 235-245 ◽

Cited By ~ 5

Author(s):

J. M. Aarts ◽

M. Mršević

Keyword(s):

Bitopological Space ◽

Separation Axiom ◽

Complete Regularity ◽

Closed Sets ◽

Bitopological Spaces ◽

Natural Way

AbstractFocussing on complete regularity, we discuss the separation properties of bitopological spaces. The unifying concept is that of separation by a pair of bases (B1, B2) for the closed sets of a bitopological space (S, J1, J2). For various separation properties a characterization is presented in terms of separation by a pair of closed bases. This is extended to results concerning pairs of subbases. Here the notion of screening by pairs of subbases plays a central role and the characterization of complete regularity in a natural way fits in between those of regularity and normality. In the key lemma the relation with quasi-proximities is exhibited.

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