共查询到19条相似文献,搜索用时 109 毫秒
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以R.Lowen的强F紧性为基础,定义了L-拓扑空间的弱局部强F紧性及单点强F紧化,推广了有关弱局部紧拓扑空间和拓扑空间的单点紧化的若干结果,证明了L-拓扑空间的弱局部强F紧性是拓扑空间的弱局部紧性的L-推广。 相似文献
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设X是拓扑空间,CL(X)表示X的所有非空闭子集的族,本文得到了下述结果:在CL(X)上的Fell-拓扑是伪肾的当且仅当X是feebly-紧或者非局部紧或者非σ-紧,由此得到了对于伪紧性不是闭遗传的两类新的拓扑空间。 相似文献
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<正> 在不分明拓扑空间理论中,Stone-ech紧化问题是令人关注的,而且已有一些工作(参看[7]),但已有的探讨只是限于由通常拓扑生成的(topologically generated)一类较特殊的不分明拓扑空间中进行;其总的思路是把这个问题回归到通常拓扑空间的Stone-Cech紧化的问题.至于一般不分明拓扑空间中这个问题的探讨,则因现有文献中与此相关的 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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介绍了直觉I-fuzzy拓扑空间中(r,s)直觉模糊半正规的定义,研究了直觉I-fuzzy拓扑空间中直觉弱连续、直觉弱开和直觉弱闭映射的等价定理及(r,s)直觉模糊紧,(r,s)直觉模糊殆紧、(r,s)直觉模糊几乎紧的相关定理. 相似文献
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给出了一般的L-不分明拓扑空间的Alexandorff紧化,并且对弱诱导空间证明了该紧化是弱诱导紧化类中唯一最小的紧化。 相似文献
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本文讨论一类格上拓扑学中嵌入问题,确切说是讨论值域为fuzzy格的L不分明拓扑空间中嵌入理论及其应用.首先概述若干诸如不分明单位区间、重域构造以及格上保并映射类的代数运算等基础性成果.其次给出不分明完全正则的点式刻划与关于一致结构的著名Weil定理的不分明推广并从而建立了在不分明单位方体中一般性的嵌入定理.最后作为嵌入定理的应用,得到了不分明Urysohn度量化定理并完成了不分明Stone-Cech紧化的一般理论。 相似文献
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R. Lowen 《Topology and its Applications》1981,12(1):65-74
Many examples of compact fuzzy topological spaces which are highly non topological are known [5, 6]. Equally many examples of Hausdorff fuzzy topological spaces which are highly non topological can be given. In this paper we show that the two properties - compact and Hausdorff - combined however necessarily imply that the fuzzy topological space is topological. This at once solves some open questions with regard to the compactification of fuzzy topological spaces [8]. It also emphasizes once more the particular role played by compact Hausdorff topological spaces not only in the category of topological spaces but even in the category of fuzzy topological spaces. 相似文献
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It is shown that each separable metric, not totally disconnected, topological space admits a superextension homeomorphic to the Hilbert cube. Moreover, for simple spaces, such as the closed unit interval or then-spheresS
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, we give easily described subbases for which the corresponding superextension is homeomorphic to the Hilbert cube. 相似文献
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Gunther Jäger 《Fuzzy Sets and Systems》1997,90(3):737-348
Lowen and Lowen [Applications of category theory to fuzzy subsets (Kluwer, 1992) p. 153] and Lowen et al. [Fuzzy Sets and Systems 40 (1991) 347] recently introduced the category FCS of fuzzy convergence spaces, a topological quasitopos which is a supercategory of FTS, the category of fuzzy topological spaces. In this paper, compactness in FCS is examined. Doing so we found that to define compactness as an absolute property we had to generalize the definition of fuzzy convergence space to fuzzy subsets. All basic theorems are proved including the Tychonoff product theorem. Based on the theory developed here, in a following publication, a Richardson compactification for fuzzy convergence spaces will be given. 相似文献
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N. V. Timofeeva 《Mathematical Notes》2007,82(5-6):677-690
A new compactification of the variety of moduli of stable vector 2-bundles with Chern classes c 1 and c 2 is constructed for the case in which the universal family of stable sheaves with given values of invariants is defined and there are no strictly semistable sheaves. The compactification is a subvariety in the Hilbert scheme of subschemes of a Grassmann manifold with fixed Hilbert polynomial; it is obtained from the variety of bundle moduli by adding points corresponding to locally free sheaves on surfaces which are modifications of the initial surface. Moreover, a morphism from the new compactification of the moduli space to its Gieseker-Maruyama compactification is constructed. 相似文献
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Harold W Martin 《Journal of Mathematical Analysis and Applications》1980,73(2):453-456
It is shown that if (X, F) is a fuzzy topological space whose induced topology is Tychonoff, then (X, F) has a Stone-?ech ultra-fuzzy compactification. 相似文献
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E.J Balder 《Journal of Mathematical Analysis and Applications》1981,79(1):1-12
Inf-compactness of the objective functional in an abstract variational problem, where the dynamical system consists of a linear functional-integral equation, is proven by suitably topologizing the space of relaxed control functions. The topology is obtained quite naturally from a Hilbert cube compactification of the space of control points. Under additional convexity assumptions a general existence result, implying that of A. D. Ioffe (Dokl. Akad. Nauk SSSR205 (1972), 277–280; Soviet Math. Dokl.13 (1972), 919–923) is proven. 相似文献
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Benoît Kloeckner 《Mathematische Annalen》2010,347(4):951-961
Any nonpositively curved symmetric space admits a topological compactification, namely the Hadamard compactification. For
rank 1 spaces, this topological compactification can be endowed with a differentiable structure such that the action of the
isometry group is differentiable. Moreover, the restriction of the action on the boundary leads to a flat model for some geometry
(conformal, CR or quaternionic CR depending of the space). One can ask whether such a differentiable compactification exists
for higher rank spaces, hopefully leading to some knew geometry to explore. In this paper we answer negatively. 相似文献