Between closed and Ig-closed sets

Authors

  • Néstor Raúl Pachón Universidad Nacional de Colombia and Escuela Colombiana de Ingeniería.

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i2.3131

Keywords:

g-closed sets, C-compact spaces, I-compact spaces

Abstract

The concept of closed sets is a central object in general topology. In order to extend many of important properties of closed sets to a larger families, Norman Levine initiated the study of generalized closed sets. In this paper we introduce, via ideals, new generalizations of closed subsets, which are strong forms of the Ig-closed sets, called ÏIg-closed sets and closed-I sets. We present some properties and applications of these new sets and compare the ÏIg-closed sets and the closed-I sets with the g-closed sets introduced by Levine. We show that Iclosed and closed-I are independent concepts, as well as I∗-closed sets and closed-I concepts.

Author Biography

  • Néstor Raúl Pachón, Universidad Nacional de Colombia and Escuela Colombiana de Ingeniería.
    Department of Mathematics. Professor.

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Published

2018-01-24

Issue

Vol. 11 No. 1: (January 2018)

Section

Topology

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Between closed and Ig-closed sets. (2018). European Journal of Pure and Applied Mathematics, 11(1), 299-314. https://doi.org/10.29020/nybg.ejpam.v11i2.3131