Preservation theorems of weakly \muH-countably compact spaces

  • Abdo Mohammed Qahis Najran University
  • Takashi Noiri

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).

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Author Biographies

Abdo Mohammed Qahis, Najran University

Sadi Arabia- Najran city-street of Fiaslyia

Takashi Noiri

2949-1 Shiokita-cho, Hinagu Yatsushiro-shi Kumamoto-ken 869-5142 Japan.

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.

Published
2024-04-19
Section
Articles