可分度量空间

完备可分度量空间上的随机点过程半群PN中的素元及I0元的判别与表征对PN的半群结构的研究具有重要意义。

The distinguishing of prime elements and Io elements in the semigroup P_N of stochastic point processes on a separable metric space and the studying of semigroup structure of P_N were of great significance .

第四章：引入了相对cs网的概念，给出了局部可分度量空间商s象的判定定理，以及局部可分度量空间商s象的性质定理。

In chapter 4 , after introducing the definition of relative cs-networks , we give a judgement theorem and a property theorem on quotient s-image of locally separable metric spaces .

局部可分度量空间与弱度量拓扑空间

Locally Separable Metric Spaces and Weaker Metric Topology Spaces

同时也刻划了局部可分度量空间的伪序列覆盖紧映象。我们还将考虑弱度量拓扑空间的序列覆盖紧映象和序列商紧映象。

We also consider sequence-covering compact-images and sequentially-quotient compact-images of weaker metric topology spaces .

局部可分度量空间的伪序列覆盖映射

Pseudo-Sequence-Covering Images of Locally Separable Metric Spaces

给出了局部可分度量空间的紧覆盖ss-象及紧覆盖商紧ss-象的刻划。

In this paper the compact-covering ss-images and the compact-covering quotient compact ss-images of locally separable metric spaces are given .

另一方面，利用Tω1研究了局部可分度量空间的闭映象的内在刻画。

On the other hand , some internal characterizations of closed images of locally separable metric spaces are studied via T ω 1 .

本文主要是讨论了有限子序列覆盖映射的若干性质以及此映射与其它映射类之间的相互关系，另一方面本文还给出了局部可分度量空间的π映象的某些内在刻画。

In this paper , we discuss the properties of the finite subsequence-covering mappings and relation between it and other mappings . We also obtain some inter characterizations of the π images of locally separable metric spaces .

本文讨论具有局部可数（modk）基空间的一些映射性质，其主要结果是；（1）局部可分度量空间的完备逆像刻划为具有局部可数（modk）基的空间。

In this paper some mapping properties of spaces with locally countable ( modk ) - bases are discussed .