In this paper we present new properties about the J - Hausdorff, J -regular and J -normal spaces, introduced recently by Suriyakala-Vembu. Additionally we introduce the J -Urysohn spaces, an intermediate concept between ...

We introduce and study new extensions of some separation axioms to ideal topological spaces, which we have called 𝒫-Hausdorff, 𝒫-regular and 𝒫-normal. These extensions are quite natural and represent a good improvement ...

In this paper we introduce two new ideal topological spaces, which are strong forms of the QHC spaces and the I -QHC spaces. We present several properties and characterizatios of these new spaces.

We introduce, and study, the regularity and normality in ideal bitopological spaces, absent subject in literature. Our definitions have the advantage of using only the open sets of the two underlying topologies. These new ...

In this paper we introduce and investigate two new ideal topological spaces, which are strong forms of Gupta-Noiri concepts. Interesting characterizations of this spaces are presented, as well as several useful properties ...

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 ...

The aim of this paper is to introduce and study new types of strong compactness, modulo an ideal, called ρI-compactness and σI-compactness. Several of their properties are presented and some effects of various kinds of ...