| ZHANG Dexue.[J].数学年刊A辑,1999,20(3):309~316 |
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| FUZZY PRETOPOLOGICAL SPACES, AN EXTENSIONAL TOPOLOGICALEXTENSION OF FTS |
| Received:April 21, 1998 Revised:November 30, 1998 |
| DOI： |
| 中文关键词: |
| 英文关键词:Fuzzy topological spaces, Fuzzy pretopological spaces,
Extensional topological category |
| 基金项目: |
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| 中文摘要: |
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| 英文摘要: |
| The category of fuzzy pretopological spaces is introduced,
and it is proved that this category is a well-fibred extensional
topological construct, and it is a finally dense extension of the category
of fuzzy topological spaces. Moreover this category contains both the
category of pretopological spaces and the category of probabilistic
neighbourhood spaces as simultaneously bireflective and bicoreflective full
subcategories. |
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