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Year 2019, Issue: 26, 73 - 83, 01.01.2019

Abstract

References

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

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

Year 2019, Issue: 26, 73 - 83, 01.01.2019

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.                                                                                                                                              
           

References

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

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Ashraf Said Nawar

Publication Date January 1, 2019
Submission Date September 11, 2018
Published in Issue Year 2019 Issue: 26

Cite

APA Nawar, A. S. (2019). Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces. Journal of New Theory(26), 73-83.
AMA Nawar AS. Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces. JNT. January 2019;(26):73-83.
Chicago Nawar, Ashraf Said. “Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces”. Journal of New Theory, no. 26 (January 2019): 73-83.
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 A. S. Nawar, “Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces”, JNT, no. 26, pp. 73–83, January 2019.
ISNAD Nawar, Ashraf Said. “Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces”. Journal of New Theory 26 (January 2019), 73-83.
JAMA 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, 2019, pp. 73-83.
Vancouver Nawar AS. Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces. JNT. 2019(26):73-8.


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