Weakly m-compact via a hereditary class
DOI:
https://doi.org/10.5269/bspm.40594Abstract
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.
References
1. Csaszar A., Generalized topology, generalized continuity, Acta Math. Hungar., 96 (2002), 351-357.
2. Csaszar A., Generalized open sets in generalized topologies, Acta Math. Hungar., 106 (2005), 53-66.
3. Csaszar A., Modification of generalized topologies via hereditary classes, Acta Math. Hungar., 115(1-2) (2007), 29-36.
4. 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.
5. 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.
6. Kuratowski K., Topologies I, Warszawa, (1933).
7. Rajamani M., Inthumathi V. and Ramesh R., Some new generalized topologies via hereditary classes, Bol. Soc. Paran. Mat., 30(2) (2012), 71-77.
8. Roy B., On a type of generalized open sets, Appl. Gen. Topology, 12(2)(2011), 163-173.
9. Sarsak M. S., On μ-compact sets in μ-spaces, Questions Answers General Topology, 31 (2013), 49-57.
10. Sarsak M. S., Weakly μ-compact spaces, Demonstratio Math., 45(4) (2012), 929-938.
11. Saraiva L. E. D., Generalized quotient topologies, Acta Math. Hungar., 132(1-2) (2011), 168-173.
12. Zahram A. M., El-Saady K. and Ghareeb A., Modification of weak structures via hereditary classes, Appl. Math. Letters., 25 (2012), 869-872.
2. Csaszar A., Generalized open sets in generalized topologies, Acta Math. Hungar., 106 (2005), 53-66.
3. Csaszar A., Modification of generalized topologies via hereditary classes, Acta Math. Hungar., 115(1-2) (2007), 29-36.
4. 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.
5. 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.
6. Kuratowski K., Topologies I, Warszawa, (1933).
7. Rajamani M., Inthumathi V. and Ramesh R., Some new generalized topologies via hereditary classes, Bol. Soc. Paran. Mat., 30(2) (2012), 71-77.
8. Roy B., On a type of generalized open sets, Appl. Gen. Topology, 12(2)(2011), 163-173.
9. Sarsak M. S., On μ-compact sets in μ-spaces, Questions Answers General Topology, 31 (2013), 49-57.
10. Sarsak M. S., Weakly μ-compact spaces, Demonstratio Math., 45(4) (2012), 929-938.
11. Saraiva L. E. D., Generalized quotient topologies, Acta Math. Hungar., 132(1-2) (2011), 168-173.
12. Zahram A. M., El-Saady K. and Ghareeb A., Modification of weak structures via hereditary classes, Appl. Math. Letters., 25 (2012), 869-872.
Downloads
Published
2020-10-09
Issue
Section
Research Articles
License
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).
