Weakly m-compact via a hereditary class
Résumé
The aim of this paper is to introduce and study some types of m-compactness with respect to a hereditary class called weakly mH-compact spaces and weakly mH-compact subsets. We will provide several characterizations of weakly mH-compact spaces and investigate their relationships with some other classes of generalized topological spaces.
Téléchargements
Références
Csaszar A., Generalized topology, generalized continuity, Acta Math. Hungar., 96 (2002), 351-357.
Csaszar A., Generalized open sets in generalized topologies, Acta Math. Hungar., 106 (2005), 53-66.
Csaszar A., Modification of generalized topologies via hereditary classes, Acta Math. Hungar., 115(1-2) (2007), 29-36.
Carpintero C., Rosas E., Salas-Brown M. and Sanabria J., μ-Compactness with respect to a hereditary class, Bol. Soc. Paran. Mat., 34(2) (2016), 231-236.
Kim Y. K. and Min W. K., On operations induced by hereditary classes on generalized topological spaces, Acta Math. Hungar., 137(1-2) (2012), 130-138.
Kuratowski K., Topologies I, Warszawa, (1933).
Rajamani M., Inthumathi V. and Ramesh R., Some new generalized topologies via hereditary classes, Bol. Soc. Paran. Mat., 30(2) (2012), 71-77.
Roy B., On a type of generalized open sets, Appl. Gen. Topology, 12(2)(2011), 163-173.
Sarsak M. S., On μ-compact sets in μ-spaces, Questions Answers General Topology, 31 (2013), 49-57.
Sarsak M. S., Weakly μ-compact spaces, Demonstratio Math., 45(4) (2012), 929-938.
Saraiva L. E. D., Generalized quotient topologies, Acta Math. Hungar., 132(1-2) (2011), 168-173.
Zahram A. M., El-Saady K. and Ghareeb A., Modification of weak structures via hereditary classes, Appl. Math. Letters., 25 (2012), 869-872.
Copyright (c) 2020 Boletim da Sociedade Paranaense de Matemática

Ce travail est disponible sous la licence Creative Commons Attribution 4.0 International .
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).