[PDF] Full Spaces Of Homotopy Self Equivalences A Survey Download eBook

Spaces of Homotopy Self-Equivalences - A Survey

Author: John W. Rutter

Publisher: Springer

Published: 2006-11-14

Total Pages: 180

ISBN-13: 3540691359

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

Author: Ken-ichi Maruyama

Publisher: American Mathematical Soc.

Published: 2001

Total Pages: 330

ISBN-13: 0821826832

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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.

Self Homotopy Equivalences of Classifying Spaces of Compact Connected Lie Groups

Author: Stefan Jackowski

Publisher:

Published: 1994

Total Pages: 18

ISBN-13:

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Groups of Self-Equivalences and Related Topics

Author: Renzo A. Piccinini

Publisher: Springer

Published: 2006-11-14

Total Pages: 223

ISBN-13: 3540470913

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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

Author: Yves Félix

Publisher: American Mathematical Soc.

Published: 2010

Total Pages: 246

ISBN-13: 0821849298

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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.

HOMOTOPY GROUPS OF THE SPACE OF SELF-HOMOTOPY-EQUIVALENCES..

Author: DARRYL JOHN MCCULLOUGH

Publisher:

Published: 1978

Total Pages: 115

ISBN-13:

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On Spaces of Self Homotopy Equivalences of P-completed Classifying Spaces of Finite Groups and Homotopy Group Extensions

Author: Carles Broto

Publisher:

Published: 1999

Total Pages: 30

ISBN-13:

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Loeb Measures in Practice: Recent Advances

Author: Nigel J. Cutland

Publisher: Springer

Published: 2004-10-11

Total Pages: 118

ISBN-13: 3540445315

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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.