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在不分明化拓扑空间中,从pre-开集出发引入了强紧性的概念,并且给出了它的一些性质.这些概念的结合有助于我们对不分明化拓扑的研究. 相似文献
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在不分明化拓扑空间中,从正则开集出发引入了近似紧性和几乎紧性的概念,并且给出了它们的一些性质.这些概念的结合有助于我们对不分明化拓扑的研究。 相似文献
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Fuzzy集论中邻属关系的分析 总被引:1,自引:0,他引:1
刘应明 《数学年刊B辑(英文版)》1984,(4)
重域系构造在不分明拓扑的研究中已取得相当的成功,在文献[6]中我们给出了几组互相等价的公理系,从拓扑学与 Fuzzy 集论角度刻划了重域系构造.因为不分明拓扑空间中邻近构造是由不分明点与不分明集之间的邻属关系决定的,本文就从 Fuzzy 集论角度分析这个邻属关系.我们给出了直观且比较明显的四条原则并证明满足这些原则的唯一的邻属关系就是相重关系.这个相重关系在不分明拓扑学中相应于重域系构造. 相似文献
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文[1]给出了研究拓扑空间,邻近空间,一致空间的统一化理论的方法,提出了拓扑共生结构的概念。文[3,4]引入了Fuzzy拓扑共生结构,初步研究了Fuzzy拓扑,Fuzzy邻近结构,Fuzzy一致结构的统一化问题,文[5]讨论了Fuzzy拓扑共生结构生成 相似文献
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本文研究了容有半对称度量联络的广义复空间中的子流形上的Chen-Ricci不等式.利用代数技巧,建立了子流形上的Chen-Ricci不等式.这些不等式给出了子流形的外在几何量-关于半对称联络的平均曲率与内在几何量-Ricci曲率及k-Ricci曲率之间的关系,推广了Mihai和Özgür的一些结果. 相似文献
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In this paper, we construct two-step nilpotent Lie groups from homogeneous fiber bundles over compact symmetric spaces. The structure of the constructed nilpotent groups is expressed in terms of the compact Lie groups involved in the fiber bundles. There are close relations between the geometric properties of the nilpotent groups and the total spaces of the fiber bundles. We will find new examples of nilpotent groups which are weakly symmetric and Riemannian geodesic orbit spaces. 相似文献
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C. Herz introduced in [Hr] some new spaces to study properties of functions. An Interesting account, with many applications, of some particular cases of the generalized Herz spaces is given in [BS]. In this paper we first identify the duals of the generalized Herz spaces. Then, we characterize their intermediate spaces when the complex method of interpolation for families of spaces Is used. Applications are given that show the bounded ness of many operators on the generalized Herz spaces. 相似文献
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We show that (generalized) Calkin correspondence between quasi-normed symmetric sequence spaces and symmetrically quasi-normed ideals of compact operators on an infinite-dimensional Hilbert space preserves completeness. We also establish a semifinite version of this result. 相似文献
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S. Kumar 《Acta Mathematica Hungarica》2008,118(1-2):9-28
We prove expansion mappings theorems in various spaces i.e., metric spaces, generalized metric spaces, probabilistic metric
spaces and fuzzy metric spaces, which generalize the results of various authors like Daffer and Kaneko [11], Ahmad, Ashraf
and Rhoades [1], Vasuki [38], Rhoades [31] and Wang, Li, Gao and Iseki [40] etc.
In the memory of 65th birthday anniversary of his Father Late Sh. Ram Phool Sharma 相似文献
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We investigate geometric properties of homogeneous parabolic geometries with generalized symmetries. We show that they can be reduced to a simpler geometric structures and interpret them explicitly. For specific types of parabolic geometries, we prove that the reductions correspond to known generalizations of symmetric spaces. In addition, we illustrate our results on an explicit example and provide a complete classification of possible non-trivial cases. 相似文献
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In this paper, we study generalized symmetric Finsler spaces. We first study some existence theorems, then we consider their
geometric properties and prove that any such space can be written as a coset space of a Lie group with an invariant Finsler
metric. Finally we show that each generalized symmetric Finsler space is of finite order and those of even order reduce to
symmetric Finsler spaces and hence are Berwaldian. 相似文献
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V. I. Chilin P. G. Dodds A. A. Sedaev F. A. Sukochev 《Transactions of the American Mathematical Society》1996,348(12):4895-4918
We present several characterizations of Kadec-Klee properties in symmetric function spaces on the half-line, based on the -functional of J. Peetre. In addition to the usual Kadec-Klee property, we study those symmetric spaces for which sequential convergence in measure (respectively, local convergence in measure) on the unit sphere coincides with norm convergence.
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A necessary and sufficient condition for a fuzzy metric space to be complete is given. We prove that a subspace of a separable fuzzy metric space is separable and every separable fuzzy metric space is second countable. Uniform limit theorem is generalized to fuzzy metric spaces. 相似文献