Unstable Homotopy From The Stable Point Of View

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Unstable Homotopy From The Stable Point Of View

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Author : J. Milgram
language : en
Publisher:
Release Date : 2014-01-15

Unstable Homotopy From The Stable Point Of View written by J. Milgram and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

Analyse Diff Rentielle

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Author : Barry Mazur
language : en
Publisher:
Release Date : 1974

Analyse Diff Rentielle written by Barry Mazur and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Abelian varieties categories.

Fibrewise Homotopy Theory

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Author : Michael Charles Crabb
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Fibrewise Homotopy Theory written by Michael Charles Crabb 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 2012-12-06 with Mathematics categories.

Topology occupies a central position in the mathematics of today. One of the most useful ideas to be introduced in the past sixty years is the concept of fibre bundle, which provides an appropriate framework for studying differential geometry and much else. Fibre bundles are examples of the kind of structures studied in fibrewise topology. Just as homotopy theory arises from topology, so fibrewise homotopy the ory arises from fibrewise topology. In this monograph we provide an overview of fibrewise homotopy theory as it stands at present. It is hoped that this may stimulate further research. The literature on the subject is already quite extensive but clearly there is a great deal more to be done. Efforts have been made to develop general theories of which ordinary homotopy theory, equivariant homotopy theory, fibrewise homotopy theory and so forth will be special cases. For example, Baues [7] and, more recently, Dwyer and Spalinski [53], have presented such general theories, derived from an earlier theory of Quillen, but none of these seem to provide quite the right framework for our purposes. We have preferred, in this monograph, to develop fibre wise homotopy theory more or less ab initio, assuming only a basic knowledge of ordinary homotopy theory, at least in the early sections, but our aim has been to keep the exposition reasonably self-contained.

Proceedings Of The Northwestern Homotopy Theory Conference

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Author : Haynes R. Miller
language : en
Publisher: American Mathematical Soc.
Release Date : 1983

Proceedings Of The Northwestern Homotopy Theory Conference written by Haynes R. Miller 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 1983 with Mathematics categories.

The Geometric Hopf Invariant And Surgery Theory

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Author : Michael Crabb
language : en
Publisher: Springer
Release Date : 2018-01-24

The Geometric Hopf Invariant And Surgery Theory written by Michael Crabb and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-24 with Mathematics categories.

Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds. Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract results are included in the book, making it of wide interest to topologists. Serving as a valuable reference, this work is aimed at graduate students and researchers interested in understanding how the algebraic and geometric topology fit together in the surgery theory of manifolds. It is the only book providing such a wide-ranging historical approach to the Hopf invariant, double points and surgery theory, with many results old and new.

Global Homotopy Theory

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Author : Stefan Schwede
language : en
Publisher: Cambridge University Press
Release Date : 2018-09-06

Global Homotopy Theory written by Stefan Schwede and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-06 with Mathematics categories.

A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations.

Algebraic Topology Oaxtepec 1991

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Author : Martin C. Tangora
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Algebraic Topology Oaxtepec 1991 written by Martin C. Tangora 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 1993 with Mathematics categories.

This book consists of twenty-nine articles contributed by participants of the International Conference in Algebraic Topology held in July 1991 in Mexico. In addition to papers on current research, there are several surveys and expositions on the work of Mark Mahowald, whose sixtieth birthday was celebrated during the conference. The conference was truly international, with over 130 mathematicians from fifteen countries. It ended with a spectacular total eclipse of the sun, a photograph of which appears as the frontispiece. The papers range over much of algebraic topology and cross over into related areas, such as K theory, representation theory, and Lie groups. Also included is a chart of the Adams spectral sequence and a bibliography of Mahowald's publications.

Geometry And Topology Aarhus

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Author : Karsten Grove
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Geometry And Topology Aarhus written by Karsten Grove 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 2000 with Mathematics categories.

This volume includes both survey and research articles on major advances and future developments in geometry and topology. Papers include those presented as part of the 5th Aarhus Conference - a meeting of international participants held in connection with ICM Berlin in 1998 - and related papers on the subject. This collection of papers is aptly published in the Contemporary Mathematics series, as the works represent the state of research and address areas of future development in the area of manifold theory and geometry. The survey articles in particular would serve well as supplemental resources in related graduate courses.

Secondary Cohomology Operations

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Author : John R. Harper
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Secondary Cohomology Operations written by John R. Harper 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 2002 with Mathematics categories.

Although the theory and applications of secondary cohomology operations are an important part of an advanced graduate-level algebraic topology course, there are few books on the subject. The AMS now fills that gap with the publication of the present volume. The author's main purpose in this book is to develop the theory of secondary cohomology operations for singular cohomology theory, which is treated in terms of elementary constructions from general homotopy theory. Among manyapplications considered are the Hopf invariant one theorem (for all primes $p$, including $p = 2$), Browder's theorem on higher Bockstein operations, and cohomology theory of Massey-Peterson fibrations. Numerous examples and exercises help readers to gain a working knowledge of the theory. A summary ofmore advanced parts of the core material is included in the first chapter. Prerequisite is basic algebraic topology, including the Steenrod operations. The book is geared toward graduate students and research mathematicians interested in algebraic topology and can be used for self-study or as a textbook for an advanced course on the topic. It is available in both hardcover and softcover editions.

Operads In Algebra Topology And Physics

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Author : Martin Markl
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Operads In Algebra Topology And Physics written by Martin Markl 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 2002 with Mathematics categories.

Operads are mathematical devices which describe algebraic structures of many varieties and in various categories. From their beginnings in the 1960s, they have developed to encompass such areas as combinatorics, knot theory, moduli spaces, string field theory and deformation quantization.