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Reducing the number of fixed points of some homeomorphisms on nonprime 3-manifolds

By Xuezhi Zhao

Abstract

We will consider the number of fixed points of homeomorphisms composed of finitely many slide homeomorphisms on closed oriented nonprime 3-manifolds. By isotoping such homeomorphisms, we try to reduce their fixed point numbers. The numbers obtained are determined by the intersection information of sliding spheres and sliding paths of the slide homeomorphisms involved

Topics: Mathematics, QA1-939, Science, Q, DOAJ:Mathematics, DOAJ:Mathematics and Statistics, Applied mathematics. Quantitative methods, T57-57.97, Analysis, QA299.6-433
Publisher: Springer
Year: 2006
DOI identifier: 10.1155/FPTA
OAI identifier: oai:doaj.org/article:2a988a10c7e44d8ba0946e3fdcec0992
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