In 1927, Jacob Nielsen introduced the definition of Nielsen number, and showed that it is a lower bound of the number the fixed points of maps in the homotopy class of given map.
Jacob Nielsen在1927年提出了Nielsen数的概念，并证明Nielsen数是映射同伦类中所有映射的不动点个数的一个下界。
参考来源 - 曲面间映射的重合点·2,447,543篇论文数据，部分数据来源于NoteExpress
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。
Using homotopy methods, this paper gives an analysis on the existence of zeros of the decomposable mapping, and finds its application to a class of nonlinear eigenvalue problems.
用同伦方法分析了可分解映射的零点存在性，并获得它对一类非线性特征值问题的应用。
Recently, a combined homotopy interior point method (denoted as CHIP method for convenience) was presented to solve a class of nonlinear programming problems.
最近学者们提出了组合同伦内点法（简记为CHIP方法）去求解一类非线性规划问题。
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