On 0g -Closed Sets In Topological Spaces

AUTHOR AND
AFFILIATION

MANOJ GARG and SHIKHA AGARWAL
1P.G. Department of Mathematics, Nehru Degree College, Chhibramau, Kannauj, U.P., India
2Department of Mathematics, S. C. R. I. E. T., C. C. S. University, Meerut (U.P.) India

E-mail: garg_manoj1972@yahoo.co.in

http://dx.doi.org/10.22147/jusps-A/280502

KEYWORDS:

0g-closed sets; 0 1/ 2 T -spaces, 0 1/ 2 T -spaces; 0 T1/ 2 -spaces; 0 T1/ 2 -spaces; 0g-continuity.

Issue Date:

October, 2016

Pages:

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.28 – No.5

PDF

Click Here Download PDF

DOI:

https://ultrascientist.org/papers/

ABSTRACT:

In this paper, we introduce and study a new class of sets namely 0g -closed sets which settled in between the class of g*-closed sets21 and the class of g-closed sets3 and then we study many basic properties of 0g -closed sets together with the relationship of these sets with some other sets. As applications of 0g -closes sets, we introduce some new separation properties, namely 0 1/ 2 T -spaces, 0 1/ 2 T -spaces, 0 T1/ 2 -spaces and0 T1/ 2 -spaces. Further we introduce and study new types of continuous maps called 0g -continuous maps and 0g -irresolute maps.

Copy the following to cite this Article:

MANOJ GARG and SHIKHA AGARWAL, “On 0g -Closed Sets In Topological Spaces”, Journal of Ultra Scientist of Physical Sciences, Volume 28, Issue 5, Page Number , 2016


Copy the following to cite this URL:

MANOJ GARG and SHIKHA AGARWAL, “On 0g -Closed Sets In Topological Spaces”, Journal of Ultra Scientist of Physical Sciences, Volume 28, Issue 5, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/600/


In this paper, we introduce and study a new class of sets namely 0g -closed sets which settled in between the class of g*-closed sets21 and the class of g-closed sets3 and then we study many basic properties of 0g -closed sets together with the relationship of these sets with some other sets. As applications of 0g -closes sets, we introduce some new separation properties, namely 0 1/ 2 T -spaces, 0 1/ 2 T -spaces, 0 T1/ 2 -spaces and0 T1/ 2 -spaces. Further we introduce and study new types of continuous maps called 0g -continuous maps and 0g -irresolute maps.