d*g? –Homeomorphism and d*g?c–Homeomorphism in Topological Spaces

M. Vigneshwaran; S. Ranganayaki

doi:10.46610/josme.2021.v07i03.001

dg? –Homeomorphism and dg?c–Homeomorphism in Topological Spaces

Journal of Statistics and Mathematical Engineering ◽

10.46610/josme.2021.v07i03.001 ◽

2021 ◽

Vol 7 (3) ◽

Author(s):

M. Vigneshwaran ◽

S. Ranganayaki

Keyword(s):

Topological Spaces

In this paper, the concepts of d*g? - homeomorphism and d*g?c - homeomorphism are introduced and the relationships between the newly defined homeomorphisms and the existing homeomorphisms are established and some of their properties are derived. It is show that the composition of two d*g?-homeomorphisms need not be d*g? - homeomorphism.

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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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Covering dimension and ideal topological spaces

Quaestiones Mathematicae ◽

10.2989/16073606.2020.1851309 ◽

2020 ◽

pp. 1-16

Author(s):

A.C. Megaritis

Keyword(s):

Topological Spaces ◽

Covering Dimension

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Corrigendum to "Separation axioms on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 11 (4) (2016) 511- 525"

ANNALS OF FUZZY MATHEMATICS AND INFORMATICS ◽

10.30948/afmi.2018.15.3.309 ◽

2018 ◽

Vol 15 (3) ◽

pp. 309-312 ◽

Cited By ~ 4

Author(s):

T. M. Al-shami

Keyword(s):

Fuzzy Mathematics ◽

Topological Spaces ◽

Separation Axioms

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To the Question on Some Generalizations of Properties of the Linkedness of Families of Sets and the Supercompactness of Topological Spaces

Russian Mathematics ◽

10.3103/s1066369x20110055 ◽

2020 ◽

Vol 64 (11) ◽

pp. 58-72

Author(s):

A. G. Chentsov

Keyword(s):

Topological Spaces

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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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