Abstract
We give a systematic discussion on the relationship among generalized topologies, generalized neighborhood systems, and generalized interior operators. As some applications, we answer a question raised in [7] by Shen, and characterize generalized continuous maps.
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References
Á. Császár, Generalized topology, generalized continuity, Acta Math. Hungar., 96 (2002), 351–357.
Á. Császár, On generalized neighborhood systems, Acta Math. Hungar., 121 (2008), 395–400.
R. Shen, Complete generalized neighborhood systems, Acta Math. Hungar., 129 (2010), 160–165.
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Supported by the foundation of Taizhou Teachers’ College (No. 2009-ASL-05).
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Cao, C., Wang, B. & Wang, W. Generalized topologies, generalized neighborhood systems, and generalized interior operators. Acta Math Hung 132, 310–315 (2011). https://doi.org/10.1007/s10474-011-0070-x
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DOI: https://doi.org/10.1007/s10474-011-0070-x
Key words and phrases
- generalized neighborhood system
- generalized topology
- generalized interior operator
- complete generalized neighborhood system
- strong generalized interior operator