• Between closed and Ig-closed sets 

      Pachon Rubiano, Néstor Raúl (Business Global LLCNew York, 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 ...
    • New forms of strong compactness in terms of ideals 

      Pachon Rubiano, Néstor Raúl (Publicaciones académicas Ltd.Colombia, 2016)
      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 ...
    • Regularity and normality in ideal bitopological spaces 

      Pachon Rubiano, Néstor Raúl (Universidad Católica del NorteAntofagasta, Chile, 2021)
      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 ...
    • SOME PROPERTIES OF J -HAUSDORFF, J -REGULAR AND J -NORMAL SPACES 

      Pachon Rubiano, Néstor Raúl (Vasile Alecsandri UniversityBacau, 2018)
      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 ...
    • TWO NEW FORMS OF QUASI-H-CLOSEDNESS VIA IDEALS 

      Pachon Rubiano, Néstor Raúl (Publicaciones académicas Ltd.Colombia, 2017)
      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.
    • ρC(I)-COMPACT AND ρI-QHC SPACES 

      Pachon Rubiano, Néstor Raúl (Publicaciones académicas Ltd.Colombia, 2016)
      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 ...