The $\omega$-compact topology on function spaces

S. Shanthi

doi:10.26637/MJM0801/0034

Abstract

The aim of this paper is to introduce a new topology called w-open compact topology on the set of all real-valued continuous function on a Tychonoff space.

Keywords:

Topological spaces, ω-open sets, ω-compact topology

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

S. Shanthi Department of Mathematics, Arignar Anna Government Arts College, Namakkal-637001, Tamil Nadu, India.

Pages: 201-205
Date Published: 01-01-2020
Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)

N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.

R. A. McCoy and I. Ntanta, Topological properties of spaces of continuous functions, Lecture Notes in Mathematics, 1315, Springer-Verlag, Berlin, 1988.

S. Mishra, S.M. Kang and M. Kumar, The generalized pre-open compact topology on function spaces, Inter. J. Pure and Appl. Math., 114(1)(2017), 1-15.

P. Sundaram and M. Sheik John, Weakly closed sets and weakly continuous maps in topological spaces, Proc. 〖82〗^nd session of the Indian Science Congress, Calcutta, 1995, (P-49).

M. Sheik John, A study on Generalizations of Closed Sets and Continuous Maps in Topological Spaces, Ph. D. Thesis, Bharathiyar University, Coimbatore, India (2002).

M. Sheik John and P. Sundaram, On decomposition of continuity, Bull. Allahabad Math. Soc., 22(2007), 1-9.