| Title:
|
On stratifiable fuzzy topological spaces (English) |
| Author:
|
Šostak, Alexander P. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
2 |
| Year:
|
1992 |
| Pages:
|
169-184 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of the paper is to extend the notion of stratifiability from the category Top of topological spaces to the category CFT of [Chang] fuzzy topological spaces and to develop the corresponding theory. (English) |
| Keyword:
|
stratifiable fuzzy space |
| Keyword:
|
topological domination |
| Keyword:
|
fuzzy topology |
| Keyword:
|
stratifiability |
| MSC:
|
04A72 |
| MSC:
|
54A40 |
| MSC:
|
54E20 |
| idZBL:
|
Zbl 0786.54007 |
| idMR:
|
MR1165894 |
| DOI:
|
10.21136/MB.1992.125899 |
| . |
| Date available:
|
2009-09-24T20:52:01Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125899 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[13] J-iti Nagata: Some theorems on generalized metric spaces.Theory of Sets and Topology, VEB, Berlin, 1972, pp. 377-390. MR 0341425 |
| Reference:
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[14] Pu Pao-ming, Liu Ying-ming: Fuzzy topology I. Neighborhood structure of a fuzzy point.J. Math. Anal. Appl. 76(1980), 571-599. Zbl 0447.54006, MR 0587361, 10.1016/0022-247X(80)90048-7 |
| Reference:
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| Reference:
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[15] A. P. Šostak: Some remarks about bijections onto metric spaces.Czechoslovak Math. J. 34 no. 109 (1984), 227-238. MR 0743487 |
| Reference:
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| Reference:
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| Reference:
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[18] R. H. Warren: Neighborhoods, bases and continuity in fuzzy topological spaces.Rocky Mount. J. Math. 9 (1978), 459-470. Zbl 0394.54003, MR 0478091, 10.1216/RMJ-1978-8-3-459 |
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| Reference:
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[20] S. Mardešić A. P. Šostak: On perfect preimages of stratifiable spaces.Uspekhi mat. nauk 35 no. 3 (1980), 84-93. (In Russian.) MR 0580624 |
| Reference:
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[21] A. P. Šostak: Fuzzy stratifiable spaces.Leningrad. Internat. Topological Conf., Leningrad, 1982, p. 153. (In Russian.) MR 0760276 |
| Reference:
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[23] A. P. Šostak: Functional characteristic of fuzzy stratifiable spaces.Topologicheskie prostranstva i otobrazhenia, Riga, 1985, pp. 158-165. (In Russian.) |
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| . |
