同伦等价

同胚映射和同伦等价是代数拓扑学中的两个重要概念。

To learn English Homeomorphic morphism and homotopy equivalence are two important concepts in the theory of algebraic topology .

定理2K1是En的一维连通无闭道复形，K2是En的一维连通有闭道复形，则K1与K2不同伦等价；

Theory 2 ; If K1 is one dimensional connect with no closed path complex simple , K2 is one dimensional connect with a closed path complex simple , then K1 , K2 are not homotopy equivalence .

关于自同伦等价群ε（co-H）（SX）的有限生成性

The Finitely Generated Property of ε _ ( co-H )( SX ) of Self-homotopy Equivalences

co-H-空间上自同伦等价群的若干结果

Some Results of Self-Homotopy Equivalence Groups of co-H-Spaces

拓扑和的自同伦等价群

The Group of Self-Homotopy Equivalences of Wedge Spaces

本文中，我们有结论：对于束Bm，sharp边同伦与delta顶点同伦是等价的。

In this paper , we have this result : For a bouquent Bm , sharp edge-homotopy and delta vertex-homotopy are equivalent .

作为这个结论的一个主要应用，我们有以下的定理：对于D3，有△-同伦、delta顶点同伦和边同伦是等价的。

As a main application of this result , we have the following theorem : For spatial graph C_3 ,△ - homotopy 、 delta vertex-homotopy and edge-homotopy are mutually equivalent .

为此，我们将同伦理论中的有关结果整理成同伦等价变换不变性定理，以作为这方面的理论基础。

As the corresponding theoretical basis we restate the concerned results in homotopy theory as a theorem and call it the invariance theorem for homotopy equivalence transformation .

目的在点标道路连通CW空间的同伦范畴中，引进覆叠同伦正则态射的概念，研究它存在的条件、性质以及它与覆叠同伦单（满）态和覆叠同伦等价之间的关系。

Aim To define covering homotopy regular morphism in the homotopy category of pointed path-connected CW-spaces . To discuss its existence conditions , properties and the close relationships to covering homotopy monomorphism ( epimorphism ) and covering homotopy equivalence .