Generalized topologies, generalized neighborhood systems, and generalized interior operators

Acta Mathematica Hungarica（2011）

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摘要

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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关键词

generalized neighborhood system,generalized topology,generalized interior operator,complete generalized neighborhood system,strong generalized interior operator

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