紧空间

局部紧空间上的正则Fuzzy测度

Regular Fuzzy measure on locally compact space

设X是遗传σ-meso紧空间且Y有一个σ-紧有限的基，则X×Y是遗传σ-meso紧的。

If X is hereditarily σ - meso compact space and Y has a bace of σ - compact finite , then X × Y is hereditarily σ - meso compact space .

f空间和仿紧空间的判定方法，并给出了g-可度量空间关于σ-弱遗传闭包保持闭弱基的一个刻画，进一步丰富和发展了广义度量空间的基本理论。

In addition , we give a depiction for g-metrizable space from a new direction with σ & ω HCP closed weak base . They enrich the basic theory of generalized metric spaces .

由局部基的覆盖来刻划紧空间，用H（X）表示X中的全体非空紧集构成的集族，在此集族中定义豪斯道夫距离，连续映射的定理在分形空间成立。

Determining compact space by covering of local base H ( X ) representing all the compact spaces no empty on X dominating . Hausdorff distance in the family space , continuum theorem is applicable on divided shape space .

关于σ-仿紧空间的Tychonoff乘积性质

Tychonoff Product on σ - Paracompact Spaces

证明了在T2空间中，每一最小的局部S闭空间就是S闭空间，也是feebly紧空间。

In particular we show that for T_2 space , every minimal locally S-closed space is S-closed , and is also feebly compact .

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。

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

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。

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 .

本文对定义于一定有序局部紧空间上的向量值函数建立一个Bihari型积分不等式，并给出其对于非线性Volterra型积分方程的若干应用。

In the paper a Bihari type integral inequality for vector-valued functions defined in certain ordered locally-compact spaces is established , and some applications of the inequality to nonlinear Volterra type integral equations are given .

紧空间上上半连续对应的不变紧子集

On fixed compact subsets of upper semicontinuous correspondences on compact spaces

在局部紧空间上的测度论中，正则性是一个比较重要的概念。

Generalization of the Arrow-Barankin-Blackwell theorem in a locally convex space ;

局部紧空间上模糊值模糊测度的正则性

Regularity of Fuzzy-valued Fuzzy Measure on Locally Compact Space

一类包含S-闭空间和近似紧空间的拓扑空间

A calls of topological space which contains S-closed space and nearly compact space

广义序列紧空间的∑－积

The ∑ - products of generalized countably compact spaces

关于可数紧空间上对应的不变集

Fixed - sets of Correspondences on Countably Compact Spaces

首先证明了强次亚紧空间的一个逆极限定理；

This paper first prove an inverse limit theorem of strongly submetacompact spaces ;

可数仿紧空间的连续选择存在性特征及其应用

Characterization of Countable Paracompact Spaces by Existence of Continuous Selections and Its Applications

仿近似紧空间的一个和定理；

A sum theorem of para-nearly-compact space is obtained ;

近似紧空间与具有近似闭图的映射

Nearly compact spaces and maps with nearly closed graph

紧空间上拓扑熵的几个性质

A few properties of topological entropy on compact space

紧空间中极值定理的一种证明

A Method Proving Extremum Theorem in the Compact Space

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 , a series of properties of paracompact space are given .

局部强仿紧空间的一些性质

Some Properties of Locally and Strongly Paracompact Spaces

正规狭义拟仿紧空间的σ-积

σ - Products on Normal Strongly Quasi-Paracompact Spaces

关于完全强仿紧空间的刻画

On some characterizations of perfect strong paracompact spaces

一类包含σ紧空间和可分空间的拓扑空间

A Class of Topological Spaces Which Contain σ - Compact Spaces and Separable Spaces

这种紧空间的目前尺度估计约为600兆秒差距的量级。

The present size of such compact space is estimated as the order of600 Mpc .

次中紧空间在闭的紧覆盖映射下的象是次中紧的；

The image if a submesocompact space under a closed and compact-covering mapping is submesocompact .

d-仿紧空间的性质

Some properties of d - paracompact space

近似F-紧空间及其性质

Nearly F-compact Space and Its Properties