连续映射

半序局部凸拓扑向量空间中的紧连续映射及不动点定理

A Compact Continuous Map and Fixed Point Theorems of Semi-Ordered Locally Convex Topological Vector Space

作为应用，证明了连续映射的拓扑熵和原像熵具有一定程度的扭扩不变性。

As applications , the relation between the entropies for a continuous map and for its suspension is given .

Pa（E；F）空间中的连续映射（英文）

Continuous mappings in p_a ( e ; f )

度量空间X与H（X）空间的连续映射

The continuous mapping of tolerance space X and H ( X ) space

并指出了拟H闭性与弱连续映射和紧性的联系。

Connection among quasi-H closedness , weakly continuous mapping and compactness is also shown .

Banach空间的双线性连续映射及其张量积

Bilinear continuous maps and their tensor products of Banach Spaces

特别地，文中证明了：一个几乎下半连续映射F不必是次下半连续的，但是，次下半连续映射必定是几乎下半连续的。

In particular , if a mapping F is sub lower semicontinuous then F is necessarily almost lower semicontinuous , but the inverse implication is false .

设X是紧致空间，Y是拓扑空间，f：X→y，g：y→X均为连续映射。

Let X is a compact space . Y is a topological space . Let / : X → Y , g : Y → X be continuous mappings .

介绍了有界完全Domain的相关性质，用函数空间的研究方法证明了以ScottDS连续映射为态射，以有界完全Domain为对象的范畴的笛卡儿闭性；

In this paper , we gave various properties of bounded complete domain . And we proved , with Scott continuous functions as morphisms , the category of bounded complete domain is Cartesian closed ;

Misiurewiez，Bruekller等构造了区间上具有完全Lebesgue测度的Li一Yorke混沌集合的连续映射。

Etc. constructed continuous maps of an interval with a Li-Yorke scrambled sets of full Lebesgue measure .

极小映射是动力系统理论中常见的概念.本文证明了极小映射的一个性质.说明了，在连续映射族C0（X，X）中，一致极小映射族可扩张为闭集族。

In this paper we give a character of minimal mappings , and prove that the consistent class of minimal mappings is closed in C0 ( X , X ) .

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 .

Fuzzifying连续映射的等价刻画

Characterizations of Fuzzifying Continuous Mappings

本文主要介绍Domain理论中的三类重要映射&Scott连续映射、Berry的稳定映射以及CM映射的定义以及等价刻画和表示。

This paper is mainly to introduce three classes of important functions in domain theory : Scott continuous functions , Berry 's stable functions and CM functions . The author exhibits their definitions , characterizations and representations .

第三章严格集压缩映射的不动点指数：首先介绍了利用收缩核定义的全连续映射的不动点指数，严格集压缩映射和Banach空间中常微分方程的关系。

In Chapter 3 , we recall the fixed point index for completely continuous mappings by retract methods and then present some relationship between strict-set contractions and ordinary differential equations in Banach space .

对于一个具有n-进位吸引子的区间连续映射，证明了：n不是2的方幂是该映射具有正拓扑熵的充分条件但不是必要条件；

The notion of adic attractor is introduced . For a continuous interval map with nadic attractor , the paper proves that the condition that n is not a power of 2 is sufficient but not necessary for the map to have positive topological entropy .

通过引进正则等价关系的概念，证明了用等价关系和连续映射两种方法定义的商拓扑fuzz是同胚的。

By introducing the concept of regular equivalence relation . It is proved that quotient topology fuzzes defined by equivalence relation and continuous mapping are homeo - morphic .

利用格论方法，获得了值域为局部紧Hausdorff空间的连续映射从稠密子空间连续扩充到整个空间的一个充要条件；

Using the lattice-theoretic approach to treat topological problems , we obtain a necessary and sufficient condition for a continuous mapping with a locally compact Hausdorff space as its codomain to be extended continuously to the whole space .

本文利用半紧1-集压缩的不动点指数推广了Altman关于全连续映射的一个不动点定理，并对其边界条件进行了改进。

In this paper using theory of fixed point index for demi-compact 1-set contractive mappings , a generalization 's of Altman 's the fixed point theorems for completely continuous mappings are obtained .

给出了单调传递函数的MFNNs按序单调特性、连续映射定理以及非函数一致逼近定理。

Proposed in the paper are the ordered monotony property of MFNNs when the transfer function is monotone , the continuous mapping theorem , and non approximation theorem to function .

非梯度型弱连续映射的分歧定理及其应用

A Bifurcation Theorem of Nongradient , Weakly Continuous Maps and Applications

实现连续映射的三层感知器的构造方法

A Construction Method of Realizing Continuous Mapping By A Three-Layer Perceptron

有返回轨道的区间连续映射的周期问题

Periodic Problem of Continuous Self-map of the Interval Having Return Orbits

与一个压缩型映射部分交换的连续映射的不动点

The Continuous Mapping Fixed Point Partial Commutative with a Contractive Mapping

连续体结构拓扑优化的节点独立连续映射法

Node-based Independent Continuous Mapping Method for Topological Optimization of Continuum Structures

完备的完全分配格上连续映射的单调插入

Monotone insertion of continuous mappings for complete and completely distributive lattices

连通完备链上连续映射的强插入与单调插入

Strong insertion and monotone insertion of continuous maps for connected complete chains

D&半连续映射及其对单调算子方程的应用

Demicontinuous Mapping and Its Application to the Monotone Operator Equation

连续映射轨道空间上的右移映射

On Right Translation Mapping of Orbit Space of Continuous Mapping

连续映射的度数和多项式映射的孤立零点

The Degree of a Continuous Mapping and Isolated Zeros of Polynomial Mappings