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

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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