Abstract
The main purpose of this paper is to introduce and study generalized hyperconnected spaces. Various characterizations of generalized hyperconnected spaces and preservation theorems are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Á. Császár, Generalized topology, generalized continuity, Acta Math. Hungar., 96 (2002), 351–357.
Á. Császár, Separation axioms for generalized topologies, Acta Math. Hungar., 104 (2004), 63–69.
Á. Császár, Generalized open sets in generalized topologies, Acta Math. Hungar., 106 (2005), 53–66.
Á. Császár, δ- and θ-modifications of generalized topologies, Acta Math. Hungar., 120 (2008), 275–279.
W. K. Min, Some results on generalized topological spaces and generalized systems, Acta Math. Hungar., 108 (2005), 171–181.
R. X. Shen, A note on generalized connectedness, Acta Math. Hungar., 122 (2009), 231–235.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ekici, E. Generalized hyperconnectedness. Acta Math Hung 133, 140–147 (2011). https://doi.org/10.1007/s10474-011-0086-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10474-011-0086-2
Key words and phrases
- generalized topology
- generalized open set
- generalized hyperconnected
- generalized connected
- preservation
- μ-dense set
- μ-nowhere dense set