Algebraic Topology Rational Homotopy

Algebraic Topology   Rational Homotopy

This proceedings volume centers on new developments in rational homotopy and on their influence on algebra and algebraic topology.

Author: Yves Felix

Publisher: Springer

ISBN: 9783540392040

Category: Mathematics

Page: 246

View: 684

This proceedings volume centers on new developments in rational homotopy and on their influence on algebra and algebraic topology. Most of the papers are original research papers dealing with rational homotopy and tame homotopy, cyclic homology, Moore conjectures on the exponents of the homotopy groups of a finite CW-c-complex and homology of loop spaces. Of particular interest for specialists are papers on construction of the minimal model in tame theory and computation of the Lusternik-Schnirelmann category by means articles on Moore conjectures, on tame homotopy and on the properties of Poincaré series of loop spaces.
Categories: Mathematics

Rational Homotopy Type

Rational Homotopy Type

The book will be of interest to researchers in rational homotopy theory and will provide them with new ideas and lines of research to develop further.

Author: Wen-tsün Wu

Publisher: Springer

ISBN: 9783540390251

Category: Mathematics

Page: 222

View: 398

This comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point of view. It centers on the notion of calculability which is due to the author himself, as are the measure-theoretical and constructive points of view in rational homotopy. The I*-measure is shown to differ from other homology and homotopy measures in that it is calculable with respect to most of the important geometric constructions encountered in algebraic topology. This approach provides a new method of treatment and leads to various new results. In particular, an axiomatic system of I*-measure is formulated, quite different in spirit from the usual Eilenberg-Steenrod axiomatic system for homology, and giving at the same time an algorithmic method of computation of the I*-measure in concrete cases. The book will be of interest to researchers in rational homotopy theory and will provide them with new ideas and lines of research to develop further.
Categories: Mathematics

Rational Homotopy Theory

Rational Homotopy Theory

Rational homotopy theory is a subfield of algebraic topology. Written by three authorities in the field, this book contains all the main theorems of the field with complete proofs.

Author: Yves Felix

Publisher: Springer Science & Business Media

ISBN: 9781461301059

Category: Mathematics

Page: 539

View: 233

Rational homotopy theory is a subfield of algebraic topology. Written by three authorities in the field, this book contains all the main theorems of the field with complete proofs. As both notation and techniques of rational homotopy theory have been considerably simplified, the book presents modern elementary proofs for many results that were proven ten or fifteen years ago.
Categories: Mathematics

Rational Homotopy Theory and Differential Forms

Rational Homotopy Theory and Differential Forms

Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham’s theorem on simplicial complexes.

Author: Phillip Griffiths

Publisher: Springer Science & Business Media

ISBN: 9781461484684

Category: Mathematics

Page: 227

View: 514

This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham’s theorem on simplicial complexes. In addition, Sullivan’s results on computing the rational homotopy type from forms is presented. New to the Second Edition: *Fully-revised appendices including an expanded discussion of the Hirsch lemma *Presentation of a natural proof of a Serre spectral sequence result *Updated content throughout the book, reflecting advances in the area of homotopy theory With its modern approach and timely revisions, this second edition of Rational Homotopy Theory and Differential Forms will be a valuable resource for graduate students and researchers in algebraic topology, differential forms, and homotopy theory.
Categories: Mathematics

Algebraic Topology Rational Homotopy

Algebraic Topology Rational Homotopy

This proceedings volume centers on new developments in rational homotopy and on their influence on algebra and algebraic topology.

Author: Matti Vuorinen

Publisher:

ISBN: 0387193405

Category: Algebraic topology

Page: 245

View: 100

Categories: Algebraic topology

Rational Homotopy Theory

Rational Homotopy Theory

Rational homotopy theory is a subfield of algebraic topology. Written by three authorities in the field, this book contains all the main theorems of the field with complete proofs.

Author: Yves Felix

Publisher:

ISBN: 1461301068

Category:

Page: 588

View: 709

Categories:

Algebraic Topology and Algebraic K theory

Algebraic Topology and Algebraic K theory

This book contains accounts of talks held at a symposium in honor of John C. Moore in October 1983 at Princeton University, The work includes papers in classical homotopy theory, homological algebra, rational homotopy theory, algebraic K ...

Author: William Browder

Publisher: Princeton University Press

ISBN: 0691084262

Category: Mathematics

Page: 563

View: 715

This book contains accounts of talks held at a symposium in honor of John C. Moore in October 1983 at Princeton University, The work includes papers in classical homotopy theory, homological algebra, rational homotopy theory, algebraic K-theory of spaces, and other subjects.
Categories: Mathematics

Algebraic Topology and Algebraic K Theory AM 113 Volume 113

Algebraic Topology and Algebraic K Theory  AM 113   Volume 113

This book contains accounts of talks held at a symposium in honor of John C. Moore in October 1983 at Princeton University, The work includes papers in classical homotopy theory, homological algebra, rational homotopy theory, algebraic K ...

Author: William Browder

Publisher: Princeton University Press

ISBN: 9781400882113

Category: Mathematics

Page: 567

View: 188

This book contains accounts of talks held at a symposium in honor of John C. Moore in October 1983 at Princeton University, The work includes papers in classical homotopy theory, homological algebra, rational homotopy theory, algebraic K-theory of spaces, and other subjects.
Categories: Mathematics