Research Article

Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces

Number: 26 January 1, 2019
EN

Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces

Abstract

In this paper, we introduce y*-locally closed sets and different notions of generalizations of continuous functions in a topological space and study some of their properties. Several examples are given to illustrate the behavior of these new classes of functions. Also, we define y*-submaximal spaces.                                                                                                                                                          

Keywords

References

  1. [1] M. A. Abd Allah and A. S. Nawar "ψ*-closed sets in topological spaces" Wulfenia Journal. 21(9) (2014), 391-401.
  2. [2] N. Bourbaki, General Topology, Part I, Addison Wesley, Reading Mass, (1966).
  3. [3] J. Dontchev, On submaximal spaces, Tamkang J. Math., 26 (1995), 253-260.
  4. [4] J. Dontchev, On door spaces, Indian Jl. Pure Appl. Math., 26 (1995), 873-881.
  5. [5] M. Ganster, I. L. Reilly and M. K. Vamanamurthy, Locally Closed Sets and LC-Continuous Functions, Internat. J. Math. & Math. Soc. 12 (1989), 417–424.
  6. [6] Y. Gnanambal, Studies on Generalized Pre-regular Closed Sets and Generalizations of Locally Closed Sets, Ph.D Thesis, Bharathiar University, Coimbatore, India, 1998.
  7. [7] H. Maki, R. Devi and K. Balachandran, Generalized -closed sets in topology, Bull. Fukuoka. Univ. Ed. Part III, 42 (1993), 13-21.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

January 1, 2019

Submission Date

September 11, 2018

Acceptance Date

-

Published in Issue

Year 2019 Number: 26

APA
Nawar, A. S. (2019). Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces. Journal of New Theory, 26, 73-83. https://izlik.org/JA84JS24FB
AMA
1.Nawar AS. Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces. JNT. 2019;(26):73-83. https://izlik.org/JA84JS24FB
Chicago
Nawar, Ashraf Said. 2019. “Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces”. Journal of New Theory, nos. 26: 73-83. https://izlik.org/JA84JS24FB.
EndNote
Nawar AS (January 1, 2019) Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces. Journal of New Theory 26 73–83.
IEEE
[1]A. S. Nawar, “Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces”, JNT, no. 26, pp. 73–83, Jan. 2019, [Online]. Available: https://izlik.org/JA84JS24FB
ISNAD
Nawar, Ashraf Said. “Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces”. Journal of New Theory. 26 (January 1, 2019): 73-83. https://izlik.org/JA84JS24FB.
JAMA
1.Nawar AS. Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces. JNT. 2019;:73–83.
MLA
Nawar, Ashraf Said. “Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces”. Journal of New Theory, no. 26, Jan. 2019, pp. 73-83, https://izlik.org/JA84JS24FB.
Vancouver
1.Ashraf Said Nawar. Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces. JNT [Internet]. 2019 Jan. 1;(26):73-8. Available from: https://izlik.org/JA84JS24FB

 

TR Dizin 26024
 
Electronic Journals Library 13651
 
                                EBSCO 36309                                     DOAJ 33468
Scilit 20865                                                         SOBİAD 30256

 

29324 JNT is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC)
 

The Journal of New Theory's website content and procedures are publicly accessible under the CC BY-NC license; commercial use requires our permission.