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pointwise topology
相关语句
  点式拓扑
     POINTWISE TOPOLOGY ON COMPLETELY DISTRIBUTIVE LATTICES(Ⅱ)
     完全分配格上的点式拓扑(Ⅱ)
短句来源
     POINTWISE TOPOLOGY ON COMPLETELY DISTRIBUTIVE LATTICES (Ⅰ)
     完全分配格上的点式拓扑(Ⅰ)
短句来源
     Then under the framework of the theory of pointwise topology on complete distributive lattice, we discuss the corresponding convergence——ideal basis convergence and prove the equivalence of ideal basis convergence and molecular net convergence.
     然后讨论在完全分配格点式拓扑理论中相应的理想式收敛——理想基的收敛,证明了理想基收敛与分子网收敛的等价性。
短句来源
     The theory of ideal convergence on pointwise topology of completely distributive lattices is introduced and investigated. The relation between ideals and molecular nets, and the description of closure, T_2-separability and continuous GOH by means of the ideals are discussed.
     本文引入并研究了完全分配格的点式拓扑上的理想收敛理论,讨论了理想和分子网的关系以及用理想描述闭包、T_2-分离性和连续GOH
短句来源
  “pointwise topology”译为未确定词的双语例句
     SOME CARDINAL INEQUALITIES OF POINTWISE TOPOLOGY ON LATTICES
     格上点式拓扑的几个基数不等式
短句来源
     Pointwise Compactness of Pointwise topology on Lattices
     格上点式拓扑的点式紧性
短句来源
     A new theory taking fuzzy topology and general topology as its background and dealing with Pointwise topology on certain lattices appeared recently.
     以Fuzzy拓扑与点集拓扑为背景,最近逐渐形成了一个以研究某类格上的有点化拓扑为主旨的新理论。
短句来源
  相似匹配句对
     Pointwise Compactness of Pointwise topology on Lattices
     格上点式拓扑的点式紧性
短句来源
     SOME CARDINAL INEQUALITIES OF POINTWISE TOPOLOGY ON LATTICES
     格上点式拓扑的几个基数不等式
短句来源
     MethodsElementary topology.
     方法 点集拓扑中的基本方法。
短句来源
     On Relative Topology
     关于相对拓扑
短句来源
     The Pointwise F-Power Group
     点态化的模糊幂群
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  pointwise topology
The survey examines the properties of the Tikhonov space X that depend on the topological properties of the function space C(X) with pointwise topology and of the free topological group F(X).
      
The well-known theorem about the density of the space of probability charges with the Saks property in the space of all probability charges in the pointwise topology is proved in the vector case.
      
It is easy to see that L is closed in the pointwise topology and we can apply Ramsey's theorem.
      


In[1], the theory of pointwise topology on completely distributive lattices has been established. In the present paper, the theory is developed in depth. A series of interested properties, namely, GOH, separability, countability, separation axioms, connectivity, convergence classes and a kind of pseudo-uniformities are obtained. Finally, an application of our theory in discussing the intrinsic topologies, say the Scott topology, on completely distributive lattices is given.

在[1]中我们建立起了完全分配格上的点式拓扑理论的框架、本文将给出连续广义序同态、可分性、可数性、分离性、连通性、收敛类以及一种拟一致结构理论。最后,我们以Scott拓扑为例给出了本文所建立的拓扑理论在刻划格上内蕴拓扑方面的应用。

A new theory taking fuzzy topology and general topology as its background and dealing with Pointwise topology on certain lattices appeared recently. The aim of this paper is to establish the theory of poinwise topology on completely distributive lattices. First, the structure of compeltely distributive Lattices expressed in language of "moleculaS" is obtained by means of the theories of minimal families and maximal families which were introduced by the author, and then, based on the theory...

A new theory taking fuzzy topology and general topology as its background and dealing with Pointwise topology on certain lattices appeared recently. The aim of this paper is to establish the theory of poinwise topology on completely distributive lattices. First, the structure of compeltely distributive Lattices expressed in language of "moleculaS" is obtained by means of the theories of minimal families and maximal families which were introduced by the author, and then, based on the theory of R—neighborhoods, the general topology theory is developed on these lattices with using the so called generalized orderhomomorphisms as morphisms between objects.

以Fuzzy拓扑与点集拓扑为背景,最近逐渐形成了一个以研究某类格上的有点化拓扑为主旨的新理论。本文的目的在于建立以完全分配格为对象的点式拓扑理论。我们首先以极小族与极大族理论为工具阐明了完全分配格的基于“分子”概念的代数结构,然后从闭元入手引入了分子的远域系理论,并利用广义序同态作为对象间的态射,从而全面展开了对各种拓扑性质的研究。

A concept on "remote-neighborhood" is given, by this concept, defined some cardinal functions of pointwise topology on completly distributive lattices (molecular lattices), generalized some famous inequalities of cardinal functions. So that, many results on set-theoretical topology are suitable not only on fuzzy topology, but on molecular lattices.

格上点式拓扑的研究是Fuzzy拓扑学研究的进一步发展和提高,国内外已有不少人从事这方面的工作.而格上拓扑的基数函数的研究,则是一个较新的领域.本文以“远域“为基本工具,以格上点式拓扑的框架为背景,讨论并证明了几个格上拓扑的重要基数不等式.

 
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