Preservation theorems of weakly \muH-countably compact spaces
Abstract
In this paper we study the effect of functions on weakly \muH-countably compact spaces in generalized topology. The main result is that the \theta(\mu, \nu)-continuous image of a weakly \muH-countably compact (resp. weakly \mu-countably compact) space is weakly \nuf(H)-countably compact (resp. weakly \nu-countably compact).
Downloads
References
Z. Altawallbeh and I. Jawarneh, µ-countably compactness and νH-countably compactness, Commun. Korean Math.Soc., 37(1) (2022), 269-277.
A. Al-Omari and T. Noiri, Generalizations of Lindel¨of spaces via hereditary classes, Acta Univ. Sapientiae, Math., 13(2) (2021), 281-291.
A. Csaszar, Generalized topology, generalized continuity, Acta Math. Hungar., 96(4) (2002), 351- 357.
A. Csaszar, Generalized open sets in generalized topologies, Acta Math. Hungar., 106(2005), 53-66.
A. Csaszar, Modification of generalized topologies via hereditary classes, Acta Math. Hungar., 115(1-2) (2007), 29-36.
A. Csaszar, Remarks on quasi topologies, Acta Math. Hungar., 119(1-2) (2008), 197-200.
C. Carpintero, E. Rosas, M. Salas-Brown and J. Sanabria, µ-Compactness with respect to a hereditary class, Bol. Soc. Paran Mat., 34(2) (2016), 231-236.
W.K. Min, Almost continuity on generalized topological spaces, Acta Math. Hungar., 125 (2009), 121-125.
W. K. Min, Generalized continuous functions defined by generalized open sets on generalized topological spaces, Acta Math. Hungar., 128 (2010), 299-306.
W. K. Min and Y. K. Kim, Some strong forms of (g, g)-continuity on generalized topological spaces, Honam Math. J., 33(1) (2011), 85-91.
W. K. Min, (δ, δ′)-continuity on generalized topological spaces, Acta Math. Hungar., 129 (4) (2010), 350–356.
D. Jayanth, Contra continuity on generalized topological spaces, Acta Math. Hungar., 137(4) (2012), 263-171.
A. Qahis, H. H. AlJarrah, and T. Noiri, Weakly µ-compact via a hereditary class, Bol. Soc. Paran. Mat., 39(3) (2021), 123-135.
A. Qahis and T. Noiri, Functions and weakly µH-compact spaces, Eur. J. Pure Appl. Math., 10(3) (2017), 410-418.
A. Qahis, and T. Noiri,Weakly µ-countably compact and weakly µH-countably compact spaces, submitted.
M. S. Sarsak, On µ-compact sets in µ-spaces, Questions Answers General Topology, 31 (2013), 49-57.
Copyright (c) 2024 Boletim da Sociedade Paranaense de Matemática

This work is licensed under a Creative Commons Attribution 4.0 International 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).