Slightly β-continuous functions
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-continuou...
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Main Author: | Takashi Noiri |
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Format: | Article |
Language: | English |
Published: |
Wiley
2001-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171201006640 |
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