闭映射

本文针对LF完备映射的特性引入强闭映射，讨论了闭映射和强闭映射的关系，给出了Lindelof空间的二个反例。

In the present paper directed against the specific property of LF perfect mapping strong closed mapping is defined and the relation of closed mapping and strong closed mapping is discussed as a complement of [ 3 ] , two counterexample of Lindelof spaces are given .

连续闭映射与拓扑空间的分离性

Continuous closed mapping and separation of topological spaces

本文得到了连续的开映射保持aD空间和有限对一的闭映射逆保持aD-空间。

In this paper showing that a aD-spaces are preserved by open mappings and inverse preserved by finite to one and closed mappings .

本文借助于商映射、伪开映射和闭映射建立局部紧度量空间和几类具有某些特定性质mk－系之间的联系，作为推论.得到：双商s－映射保持局部紧度量空间。

In this paper , we establish the relationships between locally compact metric spaces and all kinds of spaces with mk system by means of quotient mappings , pseudo open mappings and closed mappings .

序列空间性质是有限到一闭映射逆保持性质。

The sequential space property is inverse invariant of a finite-to-one and closed mapping .

在闭映射下被保持；

Under closed mappings are preserved ;

证明了具有σ－遗传闭包保持伪基的空间被闭映射保持。

This paper proved that spaces with σ - hereditarily closure preserving pseudobase be preserving by closed mapping .

第三章中我们系统讨论了WS-不定序映射、WS-不定序开映射和WS-不定序闭映射的性质。

In the third chapter , we shall systematically discuss WS-irresolute mappings . , WS-irresolute-open and WS-irresolute closed mappings properties .

本文的主要结果是证明有限到一的连续闭映射保持具有点可数型的空间。

In this paper it is shown that spaces of pointwise countable type are preserved by fi-nite-to - one , continuous , closed mappings .

作为这一结果的一个应用，本文证明了几乎开，闭映射保持度量空间，g-度量空间，sn-度量空间。

As an application of above results , we prove that almost open , closed mappings preserve metric spaces , g - metric spaces and SB-metric spaces .

深化算子的开映射定理，对偶地定义了算子的闭映射与弱闭映射，并讨论了相关的若干性质。

Deepen the open mapping theorem , define the closed mapping and the weakly closed mapping under antithesis , and also discuss some of their related properties .

本文在第二节研究了弱开映射与序列商映射，几乎开映射的关系，证明了有限到一的弱开映射保持g-第一可数空间；弱开闭映射保持g-度量空间。

In the second section of this article , we investigate weak open mappings have the relations with other mappings and prove that the finite-to-one weak open mappings preserve g-first countable , spaces and weak open closed mapping preserve g-metrizable spaces .

引入了拟阵间的秩强映射、反射闭集映射（RC映射）和强映射等概念，研究了它们的一些基本性质。

Rank strong maps , maps which reflect closed sets ( RC-map ) and strong maps are defined , and some fundamental properties of them are discussed .

强PS-不定开（闭）映射及其性质

Strong PS - irresolute open ( closed ) mapping and their properties

图闭模糊映射与闭模糊映射的关系研究

On the Relationship between Closed Hypergraph Fuzzy Mappings and Closed Fuzzy Mappings

我们得到了D空间的闭D映射象是保持的。

We proved that D - Space is preserved by closed D - mapping ;

近似紧空间与具有近似闭图的映射

Nearly compact spaces and maps with nearly closed graph

首先建立了一个一般随机不动点定理，指出在对偶可分空间中有界闭凸集值映射存在随机不动点的充要条件为该集值映射存在广义不动点；

At first a general random fixed point theorem is established . It is pointed out that a set-valued function with bounded closed convex set value in a separable dual Banach space has a random fixed point if and only if it has a generalized fixed point .

弱序列连续的半闭1-集压缩映射的新不动点

New Fixed Points of Weakly Sequentially Continuous Semi-closed 1-Set Contraction Mappings

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 .

在较弱条件下研究了凸闭曲面的调和映射问题。

We have discussed the harmonic mappings of closed convex surfaces under some weak conditions .

空间闭曲线的球面映射

Spherical Map of Space Closed Curve

在研究多目标规划的有效解集的连通性时，许多文献通过将集合的有效点集表示为某个连通集上闭的点集映射的象集以得到结果。

The connectedness of efficient solution set of multiobjective programming problem is of great interest and has been studied extensively .

本文通过反例说明了连通集上闭的点集映射的象集未必是连通集，从而揭示了多目标规划有效解集连通性研究中存在的问题。

The research has been carried out basing on the conclusion that the image of connected set under the closed point-to-set map is a connected set .

作为应用，又讨论了周期点是闭集的树映射的特征，以及混沌集与不变测度的关系。

Next , as application , we study the character of tree map whose periodic points form a closed set . At last , we study the relations between chaotic set and invariant measure .

本文在一般的度量空间中对非闭集上连续映射的扩张、任意集合上一致连续映射的扩张以及任意两个集合上连续映射的拼接（扩张的一种形式）进行了讨论。

In a metric space , extension of continuous mapping on a non - closed set and extension of uniformly continuous mapping on any set , as well as the conjunction ( a way of extension ) of continuous mapping on any two sets are discussed in this paper .

周期点集为闭集的闭线段连续自映射

Continuous Self-Maps of the Closed Interval Whose Periodic Points Form a Closed Set