On **gs-Closed Sets in Topological Spaces

Author:
C. K. GOEL*, MANOJ GARG# and POONAM AGARWAL**
Affiliation:

*.**Amity Institute of Applied Sciences, Amity University, Noida (India)
# Nehru P. G. College, Chhibramau, Kannauj, U.P. (India)
E-mail: ckgoel@amity.edu

Keyword:
**gs-closed sets; * Ts -spaces; Ts**-spaces; **Tsspaces; **gs-continuity; **gs-compactness; **gs-connectedness
Issue Date:
August 2015
Abstract:

In this paper, we introduce and study a new class of sets namely **gs-closed sets which lie in between the class of *gs-closed sets32 and the class of gs-closed sets8. we investigate their basic properties together with the relationship of these sets with some other recently introduced sets. As applications of **gs-closes sets, we introduce new separation properties, namely * Ts -spaces, Ts**-spaces and **Ts-spaces. Further we introduce and study new types of continuous functions called **gs-continuous functions and **gs-irresolute functions. Finally, we introduce and study **gs-compactness and **gs-connectedness.

Pages:
ISSN:
2319-8052 (Online) - 2231-3478 (Print)
Source:
DOI:
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Copy the following to cite this article:

C. K. GOEL*, MANOJ GARG# and POONAM AGARWAL**, "On **gs-Closed Sets in Topological Spaces", Journal of Ultra Scientist of Physical Sciences, Volume 27, Issue 2, Page Number , 2016

Copy the following to cite this URL:

C. K. GOEL*, MANOJ GARG# and POONAM AGARWAL**, "On **gs-Closed Sets in Topological Spaces", Journal of Ultra Scientist of Physical Sciences, Volume 27, Issue 2, Page Number , 2016

Available from: http://www.ultraphysicalsciences.org/paper/349/

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