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范畴L-CTop同构范畴L-FTop

CATEGORIES L-CTOP ISOMORPHIC TO L-FTOP
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摘要 对任意完备的Heyting代数L,引入了L-拓扑的塔的概念,并证明了其构成的范畴与L-模糊拓扑范畴是同构的。 The notion of tower for L- topologies is introduced for arbitrary complete Heyting algebra L. It is proved that the category of towers of L -topological spaces is isomorphic to the category of L -fuzzy topological spaces.
出处 《井冈山大学学报(自然科学版)》 2013年第5期1-3,共3页 Journal of Jinggangshan University (Natural Science)
基金 山东省中青年科学家科研奖励基金项目(BS2010SF004)
关键词 L-拓扑 L-模糊拓扑 范畴 L - topology L -fuzzy topology category
  • 相关文献

参考文献6

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二级参考文献7

  • 1陈波,刘建军.L-fuzzy保序算子空间的ω-Lindelf可数性[J].西南师范大学学报(自然科学版),2006,31(4):32-34. 被引量:7
  • 2ZHANG Jie, SHI Fu-gui, ZHENG Chong-you. On L-Fuzzy Topological Spaces [J]. Fuzzy Sets and Systems, 2005, 149(3): 473-484.
  • 3FANG Jing-ming. Categories Isomorphic to L-FTOP [J]. Fuzzy Sets and Systems, 2006, 157(6): 820-831.
  • 4ZHANG De-xue. On the Relationship Between Several Basic Categories in Fuzzy Topology [J]. Questions Mathematicae 2002, 25(3): 289-301.
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  • 7韩红霞.L-双保序算子空间的r-连通性[J].西南大学学报(自然科学版),2010,32(4):130-133. 被引量:2

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