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.
用拓扑度研究了压缩-紧的同胚映射和单调的同胚映射。
In this paper, we investigate the homeomorphism for contract - condensing mappings and monotone mappings by using topological degree.
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.
在第三章，我们主要研究了Y星上逐片同胚映射的迭代根的问题。
In the third chapter, we study mainly iterative roots of piecewise homeomorphic maps of an Y-star.
对于一个同胚映射，本文给出了度量函数的定义，并且给出了度量函数有界的一个充分条件及在此充分条件下度量函数的一个上界。
This paper tries to define metric function for homeomorphic mapping, and a sufficient condition of bounded metric function is given, under which a upper bound of metric function is defined as well.
本文给出了度量空间中某些同胚非扩张映射不动点存在的充分必要条件。
In this paper, some results on fixed points of homeomorphic maps in metric Spaces have been obtained.
通过研究商空间之间映射的连续性和同胚性对于研究它们的性质有很重要的作用，所得结论可以得到更好应用。
So studying continuous and homeomorphism on the mapping of quotient Spaces plays the vital role to study their nature and we may obtain the very good conclusion and the application of it.
通过研究商空间之间映射的连续性和同胚性对于研究它们的性质有很重要的作用，所得结论可以得到更好应用。
So studying continuous and homeomorphism on the mapping of quotient Spaces plays the vital role to study their nature and we may obtain the very good conclusion and the application of it.
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