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Solutions to two problems of G.J.Wang

Solutions to two problems of G. J. Wang
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摘要 The problem as to whether the sub-T0 separation and complete regularity are invariant under homeomorphism is answered negatively.And,the problem of multiplicativity of the complete regularity in general L-fuzzy topological spaces is also answered negatively. The problem as to whether the sub-T0 separation and complete regularity are invariant under homeomorphism is answered negatively. And, the problem of multiplicativity of the complete regularity in general L-fuzzy topological spaces is also answered negatively.
作者 赵彬 王三民
出处 《Science China Mathematics》 SCIE 2001年第7期889-894,共6页 中国科学:数学(英文版)
基金 This work was supported by the National Natural Science Foundation of China (Grant No. 19701020) the Teaching and Research Award for Outstanding Young Teachers in Higher Education Institutions of MOE, China.
关键词 L-fuzzy topological space Sub-T0 separation Complete regularity HOMEOMORPHISM L 模糊的拓扑的空间;Sub-T0 分离;完全的整齐;同胚;
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参考文献3

  • 1Zhang,C. L.Fuzzy topological spaces[].Journal of Mathematical.1973
  • 2Wang,G. J.Pointwise topology on completely distributive lattices[].Fuzzy Sets and Systems.1989
  • 3Wong,C. K.Fuzzy topology: Product and quotient theorems[].Journal of Mathematical.1974

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