paracompact space

Some properties of d - paracompact space

d-仿紧空间的性质

On Nearly Strongly Paracompact Space

关于近似强仿紧空间

In this paper , a series of properties of paracompact space are given .

定义了次紧空间的概念，它是一类弱于紧性的拓扑空间。

In this paper , we introduce the concept of a nearly strongly paracompact space , and give some characterizations of it .

引入了近似强仿紧空间的定义，给出了近似强仿紧空间的一些刻画，并且讨论了它们的映射性质。

Weakly d paracompact space

弱d-仿紧空间

In this paper , we obtain some equivalent characterizations of a perfect paracompact space under the condition T1 regular . By using the one of them , an equivalent proposition on the countable product is proved .

本文在T1正则的条件下得到了完全仿紧空间的一些等价刻画，并利用所得到的刻画证明了这类空间的一个可数乘积定理。

Abstract In this paper , it is proved that any almost lower semicontinuous set-valued mappings with convex and closed images from a paracompact topological space to the real number axis always admits a continuous selection , which generalizes the result given in [ 1 ] .

本文推广了〔1〕中的结果，证明了如下定理，任何从仿紧拓扑空间到实轴的集值映射若具有凸闭像且几乎下半连续，则存在连续选择。

The Study on Paracompact and Normal Space

完满正规空间的探讨

Result 2 ( Theorem 2.2 ) Suppose f : X → Y is a mapping , where X is a paracompact locally compact space .

结果2（定理2.2）设映射f：X→Y，其中X是仿紧局部紧空间。

X is the compact-covering quotient ∑ - P-image of a paracompact locally compact space ;

x是仿紧局部紧空间的紧覆盖商∑-p映象；

In this paper the characterizations of images of paracompact local Lindelof space are established under some sequence covering SL mappings and quotient SL mappings .

本文建立了仿紧局部Lindelof空间的几类序列覆盖SL映象和商SL映象的特征。

The relative topological properties of subspace of regular , normal , compact , paracompact and sequential space under maps and other separation properties are also discussed . And some known results are generalized .

并讨论了正则、正规、紧、仿紧、序列式空间的子空间的相对拓扑性质在映射下的遗传性质以及其它一些相对分离性质，从而推广了一些已知结果。

X is the 1-sequence-covering compact image of a paracompact local Ψ - space ;

X是仿紧局部ψ空间的1序列覆盖紧映象；

A monotone countable paracompact ( MCP ) space is characterized under in strong-Frechet space , and an example is constructed .

在强Frechet空间的条件下给出了单调可数仿紧空间的一种刻画，构造了半分层单调可数仿紧空间不是分层空间的例子，否定地回答C。

Result 4 ( Corollary 3.5 ) For a space X , the following are equivalent : ( 1 ) X is the 1-sequence-covering finite-to-one image of a paracompact local Ψ - space ;

结果4（推论3.5）对于空间X，下列条件等价：（1）X是仿紧局部ψ空间的1序列覆盖有限对一映象；