Between closed and Ig-closed sets
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Pachon Rubiano, Néstor Raúl | 2018
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 ρIg-closed sets and closed-I sets. We
present some properties and applications of these new sets and compare the ρIg-closed sets and
the closed-I sets with the g-closed sets introduced by Levine. We show that I-closed and closed-I
are independent concepts, as well as I * -closed sets and closed-I concepts.
LEER