Locally Closed Sets and *-Locally Closed Continuous Functions in Topological Spaces
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.
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- [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.