Spaces Of Homotopy Self Equivalences A Survey

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Spaces Of Homotopy Self Equivalences A Survey

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Author : John W. Rutter
language : en
Publisher: Springer
Release Date : 2006-11-14

Spaces Of Homotopy Self Equivalences A Survey written by John W. Rutter and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

This survey covers groups of homotopy self-equivalence classes of topological spaces, and the homotopy type of spaces of homotopy self-equivalences. For manifolds, the full group of equivalences and the mapping class group are compared, as are the corresponding spaces. Included are methods of calculation, numerous calculations, finite generation results, Whitehead torsion and other areas. Some 330 references are given. The book assumes familiarity with cell complexes, homology and homotopy. Graduate students and established researchers can use it for learning, for reference, and to determine the current state of knowledge.

Groups Of Homotopy Self Equivalences And Related Topics

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Author : Ken-ichi Maruyama
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Groups Of Homotopy Self Equivalences And Related Topics written by Ken-ichi Maruyama and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

This volume offers the proceedings from the workshop held at the University of Milan (Italy) on groups of homotopy self-equivalences and related topics. The book comprises the articles relating current research on the group of homotopy self-equivalences, homotopy of function spaces, rational homotopy theory, classification of homotopy types, and equivariant homotopy theory. Mathematicians from many areas of the globe attended the workshops to discuss their research and to share ideas. Included are two specially-written articles, by J.W. Rutter, reviewing the work done in the area of homotopy self-equivalences since 1988. Included also is a bibliography of some 122 articles published since 1988 and a list of problems. This book is suitable for both advanced graduate students and researchers.

Groups Of Self Equivalences And Related Topics

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Author : Renzo A. Piccinini
language : en
Publisher: Springer
Release Date : 2006-11-14

Groups Of Self Equivalences And Related Topics written by Renzo A. Piccinini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

Since the subject of Groups of Self-Equivalences was first discussed in 1958 in a paper of Barcuss and Barratt, a good deal of progress has been achieved. This is reviewed in this volume, first by a long survey article and a presentation of 17 open problems together with a bibliography of the subject, and by a further 14 original research articles.

Homotopy Theory Of Function Spaces And Related Topics

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Author : Yves Félix
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Homotopy Theory Of Function Spaces And Related Topics written by Yves Félix and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

This volume contains the proceedings of the Workshop on Homotopy Theory of Function Spaces and Related Topics, which was held at the Mathematisches Forschungsinstitut Oberwolfach, in Germany, from April 5-11, 2009. This volume contains fourteen original research articles covering a broad range of topics that include: localization and rational homotopy theory, evaluation subgroups, free loop spaces, Whitehead products, spaces of algebraic maps, gauge groups, loop groups, operads, and string topology. In addition to reporting on various topics in the area, this volume is supposed to facilitate the exchange of ideas within Homotopy Theory of Function Spaces, and promote cross-fertilization between Homotopy Theory of Function Spaces and other areas. With these latter aims in mind, this volume includes a survey article which, with its extensive bibliography, should help bring researchers and graduate students up to speed on activity in this field as well as a problems list, which is an expanded and edited version of problems discussed in sessions held at the conference. The problems list is intended to suggest directions for future work.

Similarity Problems And Completely Bounded Maps

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Author : Gilles Pisier
language : en
Publisher: Springer
Release Date : 2004-10-14

Similarity Problems And Completely Bounded Maps written by Gilles Pisier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-14 with Mathematics categories.

These notes revolve around three similarity problems, appearing in three different contexts, but all dealing with the space B(H) of all bounded operators on a complex Hilbert space H. The first one deals with group representations, the second one with C* -algebras and the third one with the disc algebra. We describe them in detail in the introduction which follows. This volume is devoted to the background necessary to understand these three problems, to the solutions that are known in some special cases and to numerous related concepts, results, counterexamples or extensions which their investigation has generated. While the three problems seem different, it is possible to place them in a common framework using the key concept of "complete boundedness", which we present in detail. Using this notion, the three problems can all be formulated as asking whether "boundedness" implies "complete boundedness" for linear maps satisfying certain additional algebraic identities.

Loeb Measures In Practice Recent Advances

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Author : Nigel J. Cutland
language : en
Publisher: Springer
Release Date : 2004-10-11

Loeb Measures In Practice Recent Advances written by Nigel J. Cutland and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-11 with Mathematics categories.

This expanded version of the 1997 European Mathematical Society Lectures given by the author in Helsinki, begins with a self-contained introduction to nonstandard analysis (NSA) and the construction of Loeb Measures, which are rich measures discovered in 1975 by Peter Loeb, using techniques from NSA. Subsequent chapters sketch a range of recent applications of Loeb measures due to the author and his collaborators, in such diverse fields as (stochastic) fluid mechanics, stochastic calculus of variations ("Malliavin" calculus) and the mathematical finance theory. The exposition is designed for a general audience, and no previous knowledge of either NSA or the various fields of applications is assumed.

Geometric Methods In The Algebraic Theory Of Quadratic Forms

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Author :
language : en
Publisher: Springer Science & Business Media
Release Date : 2004

Geometric Methods In The Algebraic Theory Of Quadratic Forms written by and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Forms, Pfister categories.

Big Queues

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Author : Ayalvadi J. Ganesh
language : en
Publisher: Springer Science & Business Media
Release Date : 2004

Big Queues written by Ayalvadi J. Ganesh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Large deviations categories.

Non Archimedean L Functions And Arithmetical Siegel Modular Forms

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Author : Michel Courtieu
language : en
Publisher: Springer Science & Business Media
Release Date :

Non Archimedean L Functions And Arithmetical Siegel Modular Forms written by Michel Courtieu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on with Algebraic number theory categories.

Mathematical Problems In Semiconductor Physics

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Author : Angelo Marcello Anile
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-09-16

Mathematical Problems In Semiconductor Physics written by Angelo Marcello Anile and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-16 with Science categories.

On the the mathematical aspects of the theory of carrier transport in semiconductor devices. The subjects covered include hydrodynamical models for semiconductors based on the maximum entropy principle of extended thermodynamics, mathematical theory of drift-diffusion equations with applications, and the methods of asymptotic analysis.