Slightly β -continuous functions

Takashi Noiri

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-10

Abstract:

We define a function f : X → Y to be slightly β -continuous if for every clopen set V of Y , f − 1 ( V ) ⊂ Cl ( Int ( Cl ( f − 1 ( V ) ) ) ) . We obtain several properties of such a function. Especially, we define the notion of ultra-regularizations of a topology and obtain interesting characterizations of slightly β -continuous functions by using it.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:673497

DOI: 10.1155/S0161171201006640

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