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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832558047546834944 |
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| author | Takashi Noiri |
| author_facet | Takashi Noiri |
| author_sort | Takashi Noiri |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8c8b998d946d4dcc94bbb74c8435bd2c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8c8b998d946d4dcc94bbb74c8435bd2c2025-02-03T01:33:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0128846947810.1155/S0161171201006640Slightly β-continuous functionsTakashi Noiri0Department of Mathematics, Yatsushiro College of Technology, Kumamoto, Yatsushiro 866-8501, JapanWe 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.http://dx.doi.org/10.1155/S0161171201006640 |
| spellingShingle | Takashi Noiri Slightly β-continuous functions International Journal of Mathematics and Mathematical Sciences |
| title | Slightly β-continuous functions |
| title_full | Slightly β-continuous functions |
| title_fullStr | Slightly β-continuous functions |
| title_full_unstemmed | Slightly β-continuous functions |
| title_short | Slightly β-continuous functions |
| title_sort | slightly β continuous functions |
| url | http://dx.doi.org/10.1155/S0161171201006640 |
| work_keys_str_mv | AT takashinoiri slightlybcontinuousfunctions |