scholarly journals Properties of Separation Axioms in Bitopological Spaces

2020 ◽  
Vol 43 (2) ◽  
pp. 191-195
Author(s):  
Rupaya Roshmi ◽  
MS Hossain
Keyword(s):  
Topological Property ◽  
Bitopological Space ◽  
Separation Axioms ◽  
Academy Of Sciences ◽  
Bitopological Spaces

In this paper, three notions of separation axioms in bitopological space are discussed. Some relations of topology and bitopology in such notions have been found. Further, that these notions are hereditary and topological property are proved. Journal of Bangladesh Academy of Sciences, Vol. 43, No. 2, 191-195, 2019

scholarly journals Accretion of A New Bitopology

2018 ◽  
Vol 8 (2) ◽  
pp. 3103-3106
Keyword(s):  
Bitopological Space ◽  
Natural Manner ◽  
Separation Axioms ◽  
Bitopological Spaces

In this paper the authors have introduced a new function on a bitopological space which provides us with a tool to develop a new bitopology. Various characteristics of the derived bitopological spacehav been studied. two new separation axioms have also been introduced over the bitopological spaces. It is interesting to see that the derived bitopology accepts these new separation axioms in a very natural manner

scholarly journals Separation axioms in supra soft bitopological spaces

Filomat ◽  
2018 ◽  
Vol 32 (10) ◽  
pp. 3479-3486 ◽  
Author(s):  
Aras Gunduz ◽  
Sadi Bayramov
Keyword(s):  
Soft Set ◽  
Mathematical Approach ◽  
Bitopological Space ◽  
Topological Structures ◽  
Separation Axioms ◽  
Bitopological Spaces ◽  
Soft Point ◽  
Russian Researcher

In 1999, Russian researcher Molodtsov proposed the new concept of a soft set which can be considered as a new mathematical approach for vagueness. Topological structures of soft set have been studied by some authors in recent years. In this paper we define separation axioms in supra soft bitopological space using only soft point in [2] and investigate some of their important characterizations.

Introduction to Neutrosophic Soft Bitopological Spaces

2021 ◽  
Author(s):  
Hasan Dadas ◽  
◽  
Sibel Demiralp ◽  
Keyword(s):  
Bitopological Space ◽  
Closed Set ◽  
Soft Topology ◽  
The Subject ◽  
Bitopological Spaces

In this study, the concept of neutrosophic soft bitopological space is defined and it is one of the few studies that have dealt with this concept. In addition, pairwise neutrosophic soft open (closed) set on neutrosophic soft bitopological spaces are studied. Supra neutrosophic soft topology is defined by pairwise neutrosophic soft open sets. Important theorems related to the subject supported with many examples for a better understanding of the subject are given.

scholarly journals Characterizations of Quasi-Metrizable Bitopological Spaces

1988 ◽  
Vol 44 (2) ◽  
pp. 271-274 ◽  
Author(s):  
T. G. Raghavan ◽  
I. L. Reilly
Keyword(s):  
Bitopological Space ◽  
Bitopological Spaces

AbstractIn this paper we prove that a pairwise Hausdorff bitopological space is quasi-metrizable if and only if for each point x ∈ X and for i, j = 1,2, i ≠ j, one can assign nbd bases { S(n, i; x) | n = 1, 2,… } such that (i) y ∉ S (n − 1, i; x) imples S(n, i; x) ∩ S (n, j; y) = φ, (ii) y ∈ S (n, i; x) implies S (n, i; y) ⊂ S(n − 1, i; x). We derive two further results from this.

Separation axioms on function spaces defined on bitopological spaces

2018 ◽  
Vol 9 (2) ◽  
pp. 113-118
Author(s):  
N. E. Muturi ◽  
J. M. Khalagai ◽  
G. P. Pokhariyal
Keyword(s):  
Function Space ◽  
Function Spaces ◽  
Separation Axioms ◽  
Bitopological Spaces

In this paper, we introduce separation axioms on the function space p− Cω(Y, Z) and study how they relateto separation axioms defined on the spaces (Z, δi) for i = 1, 2, (Z, δ1, δ2), 1 − Cς(Y, Z) and 2 − Cζ(Y, Z). Itis shown that the space p − Cω(Y, Z) is pT◦, pT1, pT2 and pregular, if the spaces (Z, δ1) and (Z, δ2) are bothT0, T1, T2 and regular respectively. The space p − Cω(Y, Z) is also shown to be pT0, pT1, pT2 and pregular,if the space (Z, δ1, δ2) is p − T0, p − T1, p − T2 and p-regular respectively. Finally, the space p − Cω(Y, Z) isshown to be pT0, pT1, pT2 and pregular, if and only if the spaces 1 − Cς(Y, Z) and 2 − Cζ(Y, Z) are both T0,T1, T2, and only if the spaces 1 − Cς(Y, Z) and 2 − Cζ(Y, Z) are both regular respectively.

On pairwise \(\mathcal{N}\)-\(\beta\)-open sets in bitopological spaces

2016 ◽  
Vol 7 (3) ◽  
pp. 152
Author(s):  
Fahad Alsharari ◽  
Abdo Qahis
Keyword(s):  
Continuous Function ◽  
Open Cover ◽  
Bitopological Space ◽  
Open Set ◽  
Bitopological Spaces

In this paper, we introduce the notion of an \((i,j)\)-\(\mathcal{N}\)-\(\beta\)-open set which is a generalization of an \((i,j)\)-\(\beta\)-open set in a bitopological space. Also, we investigate some of its properties and characterizations. Besides, we prove that a pairwise \((i, j)\)-\(\mathcal{N}\)-\(\beta\)-open cover that has a finite (countable) subcover is equivalent to a pairwise \(\beta\)-compact (\(\beta\)-Lindel\"{ö}f) space. Finally, we introduce an \((i, j)\)-\(\mathcal{N}\)-\(\beta\)-continuous function and an \((i, j)\)-\(\mathcal{N}\)-\(\beta\)-irresolute function and obtain some of their properties.

Strong and ultra separation axioms of fuzzy bitopological spaces

1999 ◽  
Vol 105 (3) ◽  
pp. 459-467 ◽  
Author(s):  
A. Kandil ◽  
A.A. Nouh ◽  
S.A. El-Sheikh
Keyword(s):  
Separation Axioms ◽  
Bitopological Spaces
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