共查询到20条相似文献,搜索用时 15 毫秒
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Bucataru Ioan Milkovszki Tamás Muzsnay Zoltán 《Mediterranean Journal of Mathematics》2016,13(6):4567-4580
In this paper, we study the invariant metrizability and projective metrizability problems for the special case of the geodesic spray associated to the canonical connection of a Lie group. We prove that such canonical spray is projectively Finsler metrizable if and only if it is Riemann metrizable. This result means that this structure is rigid in the sense that considering left invariant metrics, the potentially much larger class of projective Finsler metrizable canonical sprays, corresponding to Lie groups, coincides with the class of Riemann metrizable canonical sprays. Generalisation of these results for geodesic orbit spaces are given.
相似文献2.
弱基g-函数在度量化中的应用 总被引:1,自引:1,他引:0
本文引入弱基g-函数的概念,利用它给出拓扑空间度量化的一些等价刻画,证明了拓扑空间X可以度量化,当且仅当X有弱基g-函数满足(s)和(g2)(或(ks)和g1)条件,另外,本文还给出了J.Nagata两个定理的简单证明。 相似文献
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引进(QL)型Fuzzy拓扑线笥空间的优基坯概念,在此基础上得到了分离的Fuzz6y拓扑线性空间可Fuzzy赋准范化的一个充分必要条件,进上步阐明了Fuzzy准范线性空间与(QL)型Fuzzy拓扑线笥空间的关系。 相似文献
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高智民 《数学物理学报(A辑)》2005,25(4):516-521
函数刻画广义度量空间,最早可追溯至Heath和Hodel的工作. 近些年来,Nagat a和一些拓扑学者利用g函数系统地研究了度量化问题. 该文引入弱基g函数的概念,利用它给出拓扑空间度量化的一些等价刻画, 推广了前人的相关工作. 证明了拓扑空间X可以度量化,当且仅当X有弱基g函数满足条件(1)和(7). 相似文献
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证明了在Fts中邓自克和胡诚明分别定义的度量公理,在相同的定义域P0上是等价的.由此,按邓自克定义的度量公理,我们获得了模糊拓扑空间可度量化的一个充分条件若(X,δ)是模糊T3且具有δ-Fuzzy,则它是一个可Fuzzy度量化空间.这是对邓自克文献[8]中度量化的结果的改进. 相似文献
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Li has introduced the concepts of inverse system and direct system for fuzzy topological spaces and studied inverse limits and direct limits on such spaces by presenting the explicit constructions of these limits.In this paper some important concepts of fuzzy topology,such as,product fuzzy topology,quotient fuzzy topology,fuzzy continuity etc.,are used for further study of inverse limits and direct limits for fuzzy topological spaces. 相似文献
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In this paper, we investigate some stability results concerning the k-cubic functional equation f(kx + y) + f(kx?y) = kf(x + y) + kf(x?y) + 2k(k2?1)f(x) in the intuitionistic fuzzy n-normed spaces. 相似文献
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Takahide Kurokawa 《Potential Analysis》2011,34(3):261-282
Let S(Rn){\cal S}(R^n) be the Schwartz space on R
n
. For a subspace V ì S(Rn)V\subset {\cal S}(R^n), if a subspace W ì S(Rn)W \subset {\cal S}(R^n) satisfies the condition that S(Rn){\cal S}(R^n) is a direct sum of V and W, then W is called a complementary space of V in S(Rn){\cal S}(R^n). In this article we give complementary spaces of two kinds of the Lizorkin spaces in S(Rn){\cal S}(R^n). 相似文献
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在模糊集合的公理化定义及其直积的基础上,提出基本模糊点的模糊邻域算子概念。用模糊邻域算子来定义模糊集的上近似和下近似。可以用模糊集的上、下近似来刻画模糊关系的自反性、对称性和传递性等性质。在模糊粗糙集的模糊邻域算子定义下,模糊粗糙集与粗糙模糊集可以统一起来。 相似文献
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We prove that a countably compact Clifford topological semigroup S is metrizable if and only if the set E={e∈S:ee=e} of idempotents of S is a metrizable G
δ
-set in S. 相似文献
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《佛山科学技术学院》2014,6(1):93-100
This paper investigates the relationship among fuzzy rough sets, fuzzy closure spaces and fuzzy topology. It is shown that there exists a bijective correspondence between the set of all fuzzy reflexive approximation spaces and the set of all quasi-discrete fuzzy closure spaces satisfying a certain extra condition. Similar correspondence is also obtained between the set of all fuzzy tolerance approximation spaces and the set of all symmetric quasi-discrete fuzzy closure spaces satisfying a certain extra condition. 相似文献
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The Hutchinson-Barnsley (HB) operators are studied for multi iterated function system in a general setting. Some existence and uniqueness results are obtained in fuzzy fractal and multi fuzzy fractal spaces. From them, we obtain our results, which generalize some recent results in the literature. 相似文献
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关于不分明邻近空间的概念是由A .K .Katsaras给出的 ,本文在此基础上 ,首先引入了不分明对称广义邻近空间的概念 .然后研究了不分明对称广义邻近空间的性质 .最后给出了不分明对称广义邻近空间的乘积性和邻近连续性 . 相似文献
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Fang Jinming 《模糊系统与数学》1997,(2)
FuzzySRegularSpacesandSAlmostRegularSpacesFangJinming(DepartmentofAppliedMathematics,OceanUniversityofQingdao,Qingdao,2660... 相似文献
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指出在Erceg's伪度量公理中(B3)条件对讨论它的诱导拓扑不是本质的.基于这个结果,给出它的两种诱导拓扑的关系.最后,在Erceg's伪度量集合上构造一个非平凡的一一映射. 相似文献