Weakly µ-countable compactness and weakly µH-countable compactness
DOI:
https://doi.org/10.5269/bspm.66217Resumo
In this paper, we introduce and study the notions of weakly μ-countably compact spaces in generalized topology and weakly μH-countably compact spaces with respect to hereditary class H. Several of their properties and relations are presented here. In addition, some preservation properties of functions are studied and investigated.
Referências
[1] Altawallbeh Z., and Jawarneh I., µ-countably compactness and µH -countably compactness, Commun. Korean Math.Soc., 37(1) (2022), 269-277.
[2] Császár Ã., Generalized topology, generalized continuity, Acta Math. Hungar., 96 (2002), 351- 357.
[3] Császár Ã., Generalized open sets in generalized topologies, Acta Math. Hungar., 106 (2005), 53-66.
[4] Császár Ã., Modification of generalized topologies via hereditary classes, Acta Math. Hungar., 115(1-2) (2007), 29 - 36.
[5] 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.
[6] Kuratowski K., Topologies I, Warszawa, (1933).
[7] Qahis A., AlJarrah H. H., and Noiri T.,Weakly µ-compact via a hereditary class, (3s) 39(3) (2021): 123–135.
[8] Sarsak M. S., Weak separation axioms in generalized topological spaces, Acta Math. Hungar., 131 (2011), 110-121.
[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.
[2] Császár Ã., Generalized topology, generalized continuity, Acta Math. Hungar., 96 (2002), 351- 357.
[3] Császár Ã., Generalized open sets in generalized topologies, Acta Math. Hungar., 106 (2005), 53-66.
[4] Császár Ã., Modification of generalized topologies via hereditary classes, Acta Math. Hungar., 115(1-2) (2007), 29 - 36.
[5] 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.
[6] Kuratowski K., Topologies I, Warszawa, (1933).
[7] Qahis A., AlJarrah H. H., and Noiri T.,Weakly µ-compact via a hereditary class, (3s) 39(3) (2021): 123–135.
[8] Sarsak M. S., Weak separation axioms in generalized topological spaces, Acta Math. Hungar., 131 (2011), 110-121.
[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.
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2025-09-22
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