ENGLISH

Homotopy Methods in Topological Fixed and Periodic Points Theory (2006)(en)(332s)

By Jerzy Jezierski , Waclaw Marzantowicz

Book information

Publisher
Springer
Year
2005
ISBN
9781402039300, 1-4020-3930-1
Open Library ID
OL8371669M
Language
english
Format
PDF
Filesize
3 MB (2793745 bytes)
Series
Topological Fixed Point Theory and Its Applications
Edition
1
Pages
326\326
Library
mexmat
Time added
2009-07-20 03:45:11
Математика;Топология;Алгебраическая топология;Теор

Description

This is the first systematic and self-contained textbook on homotopy methods in the study of periodic points of a map. A modern exposition of the classical topological fixed-point theory with a complete set of all the necessary notions as well as new proofs of the Lefschetz-Hopf and Wecken theorems are included.Periodic points are studied through the use of Lefschetz numbers of iterations of a map and Nielsen-Jiang periodic numbers related to the Nielsen numbers of iterations of this map. Wecken theorem for periodic points is then discussed in the second half of the book and several results on the homotopy minimal periods are given as applications, e.g. a homotopy version of the Åarkovsky theorem, a dynamics of equivariant maps, and a relation to the topological entropy. Students and researchers in fixed point theory, dynamical systems, and algebraic topology will find this text invaluable.

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