Commutator Calculus And Groups Of Homotopy Classes

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Commutator Calculus And Groups Of Homotopy Classes

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Author : Hans J. Baues
language : en
Publisher: Cambridge University Press
Release Date : 1981-11-05

Commutator Calculus And Groups Of Homotopy Classes written by Hans J. Baues 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 1981-11-05 with Mathematics categories.

A fundamental problem of algebraic topology is the classification of homotopy types and homotopy classes of maps. In this work the author extends results of rational homotopy theory to a subring of the rationale. The methods of proof employ classical commutator calculus of nilpotent group and Lie algebra theory and rely on an extensive and systematic study of the algebraic properties of the classical homotopy operations (composition and addition of maps, smash products, Whitehead products and higher order James-Hopi invariants). The account is essentially self-contained and should be accessible to non-specialists and graduate students with some background in algebraic topology and homotopy theory.

Commutator Calculus And Groups Of Homotopy Classes

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Author : Baues
language : en
Publisher:
Release Date : 1981

Commutator Calculus And Groups Of Homotopy Classes written by Baues and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.

Commutator Calculus And Groups Of Homotopy Classes

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Author : Hans Joachim Baues
language : en
Publisher: Cambridge University Press
Release Date : 1981-11-05

Commutator Calculus And Groups Of Homotopy Classes written by Hans Joachim Baues 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 1981-11-05 with Mathematics categories.

A fundamental problem of algebraic topology is the classification of homotopy types and homotopy classes of maps. In this work the author extends results of rational homotopy theory to a subring of the rationale. The methods of proof employ classical commutator calculus of nilpotent group and Lie algebra theory and rely on an extensive and systematic study of the algebraic properties of the classical homotopy operations (composition and addition of maps, smash products, Whitehead products and higher order James-Hopi invariants). The account is essentially self-contained and should be accessible to non-specialists and graduate students with some background in algebraic topology and homotopy theory.

Combinatorial And Geometric Group Theory Edinburgh 1993

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Author : Andrew J. Duncan
language : en
Publisher: Cambridge University Press
Release Date : 1995

Combinatorial And Geometric Group Theory Edinburgh 1993 written by Andrew J. Duncan 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 1995 with Mathematics categories.

The ICMS Workshop on Geometric and Combinatorial Methods in Group Theory, held at Heriot-Watt University in 1993, brought together some of the leading research workers in the subject. Some of the survey articles and contributed papers presented at the meeting are collected in this volume. The former cover a number of areas of current interest and include papers by: S. M. Gersten, R. I. Grigorchuk, P. H. Kropholler, A. Lubotzky, A. A. Razborov and E. Zelmanov. The contributed articles, all refereed, range over a wide number of topics in combinatorial and geometric group theory and related topics. The volume represents a summary of the state of knowledge of the field, and as such will be indispensable to all research workers in the area.

Surveys In Combinatorics 1993

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Author : Keith Walker
language : en
Publisher: Cambridge University Press
Release Date : 1993

Surveys In Combinatorics 1993 written by Keith Walker 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 1993 with Mathematics categories.

This volume contains the invited papers presented at the 14th British Combinatorial Conference, held at the University of Keele in July 1993.

Finite Geometry And Combinatorics

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Author : Albrecht Beutelspacher
language : en
Publisher: Cambridge University Press
Release Date : 1993

Finite Geometry And Combinatorics written by Albrecht Beutelspacher 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 1993 with Mathematics categories.

Included here are articles from many of the leading practitioners in the field, including, for the first time, several distinguished Russian mathematicians. Many of the papers contain important new results, and the growing use of computer algebra packages in this area is also demonstrated.

The Descriptive Set Theory Of Polish Group Actions

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Author : Howard Becker
language : en
Publisher: Cambridge University Press
Release Date : 1996-12-05

The Descriptive Set Theory Of Polish Group Actions written by Howard Becker 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 1996-12-05 with Mathematics categories.

In this book the authors present their research into the foundations of the theory of Polish groups and the associated orbit equivalence relations. The particular case of locally compact groups has long been studied in many areas of mathematics. Non-locally compact Polish groups occur naturally as groups of symmetries in such areas as logic (especially model theory), ergodic theory, group representations, and operator algebras. Some of the topics covered here are: topological realizations of Borel measurable actions; universal actions; applications to invariant measures; actions of the infinite symmetric group in connection with model theory (logic actions); dichotomies for orbit spaces (including Silver, Glimm-Effros type dichotomies and the topological Vaught conjecture); descriptive complexity of orbit equivalence relations; definable cardinality of orbit spaces.

Discrete Groups And Geometry

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Author : William J. Harvey
language : en
Publisher: Cambridge University Press
Release Date : 1992-07-30

Discrete Groups And Geometry written by William J. Harvey 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 1992-07-30 with Mathematics categories.

This book constitutes the proceedings of a conference held at the University of Birmingham to mark the retirement of Professor A. M. Macbeath. The papers represent up-to-date work on a broad spectrum of topics in the theory of discrete group actions, ranging from presentations of finite groups through the detailed study of Fuchsian and crystallographic groups, to applications of group actions in low dimensional topology, complex analysis, algebraic geometry and number theory. For those wishing to pursue research in these areas, this volume offers a valuable summary of contemporary thought and a source of fresh geometric insights.

Varieties Of Constructive Mathematics

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Author : Douglas Bridges
language : en
Publisher: Cambridge University Press
Release Date : 1987-04-24

Varieties Of Constructive Mathematics written by Douglas Bridges 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 1987-04-24 with Mathematics categories.

A survey of constructive approaches to pure mathematics emphasizing the viewpoint of Errett Bishop's school. Considers intuitionism, Russian constructivism, and recursive analysis, with comparisons among the various approaches included where appropriate.

A Mathematical Introduction To String Theory

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Author : Sergio Albeverio
language : en
Publisher: Cambridge University Press
Release Date : 1997-07-17

A Mathematical Introduction To String Theory written by Sergio Albeverio 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 1997-07-17 with Mathematics categories.

This book deals with the mathematical aspects of string theory.