代数拓扑学中研究与连续映射的连续形变有关的各种课题是同伦论（homotopy theory），庞加莱已经提出了基本群的概念，后来切赫和胡雷维奇先后提出同伦 群的观念。 ？
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Using the homotopy mapping theory, a class of nonlinear problems were studied.
利用同伦映射理论，本文研究了一类非线性问题。
Homeomorphic morphism and homotopy equivalence are two important concepts in the theory of algebraic topology.
同胚映射和同伦等价是代数拓扑学中的两个重要概念。
The results in this thesis enrich the application range of media wave theory and the homotopy methods application in inversion problems, which are of great theoretical and practical significance.
本文的研究结果丰富了介质波动理论和同伦方法的应用范围，对促进正、反演在工程中的应用具有一定的理论意义与实际价值。
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