Lectures On Nielsen Fixed Point Theory

Author : Boju Jiang
Publisher : Unknown
Page : 122 pages
File Size : 55,5 Mb
Release : 1983
Category : Mathematics
ISBN : UCAL:B4406126

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Lectures on Nielsen Fixed Point Theory by Boju Jiang Pdf

Starting with the simplest examples, this book gives an easy introduction to the subject, then explains several very recent developments. It makes available in the English language the covering space approach to Nielsen fixed point theory. As far as research value is concerned, the Nielsen theory of periodic points is published here for the first time, and an exposition and improvement of the latest progress in the Nielsen theory of fiber maps is provided.

Author : Boju Jiang
Publisher : Unknown
Page : 119 pages
File Size : 52,8 Mb
Release : 2024-07-03
Category : Electronic
ISBN : 0608092002

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Lectures on Nielsen Fixed Point Theory by Boju Jiang Pdf

Author : Andrzej Granas,James Dugundji
Publisher : Springer Science & Business Media
Page : 706 pages
File Size : 44,6 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9780387215938

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Fixed Point Theory by Andrzej Granas,James Dugundji Pdf

The theory of Fixed Points is one of the most powerful tools of modern mathematics. This book contains a clear, detailed and well-organized presentation of the major results, together with an entertaining set of historical notes and an extensive bibliography describing further developments and applications. From the reviews: "I recommend this excellent volume on fixed point theory to anyone interested in this core subject of nonlinear analysis." --MATHEMATICAL REVIEWS

Author : Robert F. Brown
Publisher : Springer Science & Business Media
Page : 990 pages
File Size : 46,6 Mb
Release : 2005-07-21
Category : Mathematics
ISBN : 1402032218

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Handbook of Topological Fixed Point Theory by Robert F. Brown Pdf

This book will be especially useful for post-graduate students and researchers interested in the fixed point theory, particularly in topological methods in nonlinear analysis, differential equations and dynamical systems. The content is also likely to stimulate the interest of mathematical economists, population dynamics experts as well as theoretical physicists exploring the topological dynamics.

Author : Jerzy Jezierski,Waclaw Marzantowicz
Publisher : Springer Science & Business Media
Page : 326 pages
File Size : 48,5 Mb
Release : 2006-01-17
Category : Mathematics
ISBN : 9781402039317

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Homotopy Methods in Topological Fixed and Periodic Points Theory by Jerzy Jezierski,Waclaw Marzantowicz Pdf

The notion of a ?xed point plays a crucial role in numerous branches of mat- maticsand its applications. Informationabout the existence of such pointsis often the crucial argument in solving a problem. In particular, topological methods of ?xed point theory have been an increasing focus of interest over the last century. These topological methods of ?xed point theory are divided, roughly speaking, into two types. The ?rst type includes such as the Banach Contraction Principle where the assumptions on the space can be very mild but a small change of the map can remove the ?xed point. The second type, on the other hand, such as the Brouwer and Lefschetz Fixed Point Theorems, give the existence of a ?xed point not only for a given map but also for any its deformations. This book is an exposition of a part of the topological ?xed and periodic point theory, of this second type, based on the notions of Lefschetz and Nielsen numbers. Since both notions are homotopyinvariants, the deformationis used as an essential method, and the assertions of theorems typically state the existence of ?xed or periodic points for every map of the whole homotopy class, we refer to them as homotopy methods of the topological ?xed and periodic point theory.

Author : Christopher Keil McCord
Publisher : American Mathematical Soc.
Page : 366 pages
File Size : 44,5 Mb
Release : 1993
Category : Mathematics
ISBN : 9780821851814

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Nielsen Theory and Dynamical Systems by Christopher Keil McCord Pdf

This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Nielsen Theory and Dynamical Systems, held in June 1992 at Mount Holyoke College. Focusing on the interface between Nielsen fixed point theory and dynamical systems, this book provides an almost complete survey of the state of the art of Nielsen theory. Most of the articles are expository and provide references to more technical works, making them accessible to both graduate students and researchers in algebraic topology, fixed point theory, and dynamical systems.

Author : Boju Jiang
Publisher : Springer
Page : 209 pages
File Size : 53,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540468622

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Topological Fixed Point Theory and Applications by Boju Jiang Pdf

This selection of papers from the Beijing conference gives a cross-section of the current trends in the field of fixed point theory as seen by topologists and analysts. Apart from one survey article, they are all original research articles, on topics including equivariant theory, extensions of Nielsen theory, periodic orbits of discrete and continuous dynamical systems, and new invariants and techniques in topological approaches to analytic problems.

Author : I.M. James
Publisher : Elsevier
Page : 1067 pages
File Size : 40,6 Mb
Release : 1999-08-24
Category : Mathematics
ISBN : 9780080534077

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History of Topology by I.M. James Pdf

Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards.As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded mathematicians, who tend to have a different viewpoint.

Author : M.E. Bozhüyük
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401116954

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Topics in Knot Theory by M.E. Bozhüyük Pdf

Topics in Knot Theory is a state of the art volume which presents surveys of the field by the most famous knot theorists in the world. It also includes the most recent research work by graduate and postgraduate students. The new ideas presented cover racks, imitations, welded braids, wild braids, surgery, computer calculations and plottings, presentations of knot groups and representations of knot and link groups in permutation groups, the complex plane and/or groups of motions. For mathematicians, graduate students and scientists interested in knot theory.

Author : R.B. Sher,R.J. Daverman
Publisher : Elsevier
Page : 1145 pages
File Size : 49,8 Mb
Release : 2001-12-20
Category : Mathematics
ISBN : 9780080532851

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Handbook of Geometric Topology by R.B. Sher,R.J. Daverman Pdf

Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.

Author : Robert F. Brown
Publisher : American Mathematical Soc.
Page : 280 pages
File Size : 45,5 Mb
Release : 1988
Category : Mathematics
ISBN : 9780821850800

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Fixed Point Theory and Its Applications by Robert F. Brown Pdf

Represents the proceedings of an informal three-day seminar held during the International Congress of Mathematicians in Berkeley in 1986. This work covers topics including topological fixed point theory from both the algebraic and geometric viewpoints, and the fixed point theory of nonlinear operators on normed linear spaces and its applications.

Author : Alexander Fel'shtyn
Publisher : American Mathematical Soc.
Page : 165 pages
File Size : 52,8 Mb
Release : 2000
Category : Fixed point theory
ISBN : 9780821820902

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Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion by Alexander Fel'shtyn Pdf

In the paper we study new dynamical zeta functions connected with Nielsen fixed point theory. The study of dynamical zeta functions is part of the theory of dynamical systems, but it is also intimately related to algebraic geometry, number theory, topology and statistical mechanics. The paper consists of four parts. Part I presents a brief account of the Nielsen fixed point theory. Part II deals with dynamical zeta functions connected with Nielsen fixed point theory. Part III is concerned with analog of Dold congruences for the Reidemeister and Nielsen numbers. In Part IV we explain how dynamical zeta functions give rise to the Reidemeister torsion, a very important topological invariant which has useful applications in knots theory,quantum field theory and dynamical systems.

Author : J. Andres,Lech Górniewicz
Publisher : Springer Science & Business Media
Page : 771 pages
File Size : 42,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401704076

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Topological Fixed Point Principles for Boundary Value Problems by J. Andres,Lech Górniewicz Pdf

The book is devoted to the topological fixed point theory both for single-valued and multivalued mappings in locally convex spaces, including its application to boundary value problems for ordinary differential equations (inclusions) and to (multivalued) dynamical systems. It is the first monograph dealing with the topological fixed point theory in non-metric spaces. Although the theoretical material was tendentiously selected with respect to applications, the text is self-contained. Therefore, three appendices concerning almost-periodic and derivo-periodic single-valued (multivalued) functions and (multivalued) fractals are supplied to the main three chapters.

Author : J P Lampreia,Jaume Llibre,Christian Mira,Gyoergy Targonski,Jose Sousa Ramos
Publisher : World Scientific
Page : 374 pages
File Size : 49,9 Mb
Release : 1992-12-18
Category : Electronic
ISBN : 9789814554343

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Iteration Theory (Ecit 91) - Proceedings Of The European Conference by J P Lampreia,Jaume Llibre,Christian Mira,Gyoergy Targonski,Jose Sousa Ramos Pdf

The main theme of the ECIT conferences is Iteration Theory, on the borderline between Dynamics and Functional Equations. The aim is to foster symbiosis between mainstream dynamics and iteration theory treated in the style of functional equations theory. The following topics are focused: turbulence and iteration, characterization of chaos, kneading theory, symbolic dynamics, bifurcation, periods of maps, topological dynamics, discrete retarded dynamical systems, cellular automata as dynamical systems, iterative roots of formal power series, iterative roots of polynomials, phantom iterative roots, iterative groups and semigroups, families of commuting functions, algebraic aspects of iteration theory and functional equations.

Author : Boju Jiang,Chia-Kuei Peng,Zixin Hou
Publisher : Springer
Page : 377 pages
File Size : 52,6 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540461371

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Differential Geometry and Topology by Boju Jiang,Chia-Kuei Peng,Zixin Hou Pdf