Epsilon Nielsen fixed point theory
Epsilon Nielsen fixed point theory
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Epsilon Nielsen 不动点理论
DOI：
10.1155/fpta/2006/29470
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
RobertF Brown
中科院分区：
文献类型：
--
作者：
RobertF Brown
设是一个紧致的连通黎曼流形的映射，有或没有边界。对于足够小的，我们引入了一个-Nielsen数，它是与同伦的所有自映射的不动点个数的下界。我们证明了总有一个映射与之同伦，且恰好有不动点。我们描述了流形映射的计算方法。
Let be a map of a compact, connected Riemannian manifold, with or without boundary. For sufficiently small, we introduce an -Nielsen number that is a lower bound for the number of fixed points of all self-maps of that are -homotopic to . We prove that there is always a map that is -homotopic to such that has exactly fixed points. We describe procedures for calculating for maps of -manifolds.