同胚映射和同伦等价是代数拓扑学中的两个重要概念。
Homeomorphic morphism and homotopy equivalence are two important concepts in the theory of algebraic topology.
结果推广了同胚映射、同伦等价和同伦正则态射的有关结果。
Results Generalizing some results of homeomorphic morphism, homotopy equivalence and homotopy regular morphism.
证明了闭路函子和同纬函子保持同伦正则性，同时构造出了一系列同伦等价的空间。
It is showed that the loop space functor and the suspension functor preserve the properties of homotopy regular. And a series of homotopy equivalence Spaces are constructed.
该文论述了拓扑空间(组)的同伦等价变换在有序介质状态和缺陷的拓扑分类中的应用问题。
In this paper the application of homotopy equivalence transformation of topological space sets to the topological classification of states and defects in ordered media is discussed.
其次，为使此定理的应用变得直接简便，我们还给出了关于拓扑空间（组）之间同伦等价的几个命题。
Secondly, in order to favor utilizing this theorem, several propositions are given on the homotopy equivalence between two topological space sets.
其次，为使此定理的应用变得直接简便，我们还给出了关于拓扑空间（组）之间同伦等价的几个命题。
Secondly, in order to favor utilizing this theorem, several propositions are given on the homotopy equivalence between two topological space sets.
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