Download Homotopy Methods in Topological Fixed and Periodic Points by Jerzy Jezierski,Waclaw Marzantowicz PDF

By Jerzy Jezierski,Waclaw Marzantowicz

this is often the 1st systematic and self-contained textbook on homotopy tools within the examine of periodic issues of a map. a contemporary exposition of the classical topological fixed-point thought with a whole set of all of the helpful notions in addition to new proofs of the Lefschetz-Hopf and Wecken theorems are integrated. Periodic issues are studied by using Lefschetz numbers of iterations of a map and Nielsen-Jiang periodic numbers regarding the Nielsen numbers of iterations of this map. Wecken theorem for periodic issues is then mentioned within the moment half the booklet and a number of other effects at the homotopy minimum classes are given as purposes, e.g. a homotopy model of the Åarkovsky theorem, a dynamics of equivariant maps, and a relation to the topological entropy. scholars and researchers in fastened element concept, dynamical structures, and algebraic topology will locate this article invaluable.

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