Homotopy Methods in Topological Fixed and Periodic Points Theory

Jerzy Jezierski, Waclaw Marzantowicz - Collection Topological Fixed Point Theory and Its Applications

320 pages, parution le 30/11/2005

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Résumé

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.

Sommaire

Preface
Fixed Point Problems
Lefschetz-Hopf Fixed Point Theory
Periodic Points by the Lefschetz Theory
Nielsen Fixed Point Theory
Periodic Points by the Nielsen Theory
Homotopy Minimal Periods
Related Topics and Applications
Bibliography
Authors
Symbols
Index

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	PAPIER
Éditeur(s)	Springer
Auteur(s)	Jerzy Jezierski, Waclaw Marzantowicz
Collection	Topological Fixed Point Theory and Its Applications
Parution	30/11/2005
Nb. de pages	320
Format	16,5 x 25
Couverture	Relié
Poids	659g
Intérieur	Noir et Blanc
EAN13	9781402039300
ISBN13	978-1-4020-3930-0