Rational Homotopy Theory Ii PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Rational Homotopy Theory Ii PDF full book. Access full book title Rational Homotopy Theory Ii.
Author | : Steve Halperin |
Publisher | : World Scientific |
Total Pages | : 449 |
Release | : 2015-02-11 |
Genre | : Mathematics |
ISBN | : 9814651451 |
Download Rational Homotopy Theory Ii Book in PDF, ePub and Kindle
This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces, based on the minimal models introduced by Sullivan in his original seminal article. Much of the content consists of new results, including generalizations of known results in the simply connected case. The monograph also includes an expanded version of recently published results about the growth and structure of the rational homotopy groups of finite dimensional CW complexes, and concludes with a number of open questions.This monograph is a sequel to the book Rational Homotopy Theory [RHT], published by Springer in 2001, but is self-contained except only that some results from [RHT] are simply quoted without proof.
Author | : Yves Felix |
Publisher | : Springer Science & Business Media |
Total Pages | : 574 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 146130105X |
Download Rational Homotopy Theory Book in PDF, ePub and Kindle
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.
Author | : Phillip Griffiths |
Publisher | : Springer Science & Business Media |
Total Pages | : 228 |
Release | : 2013-10-02 |
Genre | : Mathematics |
ISBN | : 1461484685 |
Download Rational Homotopy Theory and Differential Forms Book in PDF, ePub and Kindle
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.
Author | : Steve Halperin |
Publisher | : |
Total Pages | : 199 |
Release | : 1996 |
Genre | : |
ISBN | : |
Download Rational Homotopy Theory (Draft, Version 96.2) Book in PDF, ePub and Kindle
Author | : Wen-tsün Wu |
Publisher | : Springer |
Total Pages | : 228 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540390251 |
Download Rational Homotopy Type Book in PDF, ePub and Kindle
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.
Author | : Yves Felix |
Publisher | : |
Total Pages | : 588 |
Release | : 2011-04-26 |
Genre | : |
ISBN | : 9781461301066 |
Download Rational Homotopy Theory Book in PDF, ePub and Kindle
Author | : Jean-Pierre Serre |
Publisher | : Springer Science & Business Media |
Total Pages | : 139 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3662042037 |
Download Local Algebra Book in PDF, ePub and Kindle
This is an English translation of the now classic "Algbre Locale - Multiplicits" originally published by Springer as LNM 11. It gives a short account of the main theorems of commutative algebra, with emphasis on modules, homological methods and intersection multiplicities. Many modifications to the original French text have been made for this English edition, making the text easier to read, without changing its intended informal character.
Author | : M.G. Barratt |
Publisher | : Springer |
Total Pages | : 498 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540358080 |
Download Geometric Applications of Homotopy Theory II Book in PDF, ePub and Kindle
Author | : Yves Felix |
Publisher | : Springer |
Total Pages | : 252 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540392041 |
Download Algebraic Topology - Rational Homotopy Book in PDF, ePub and Kindle
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.
Author | : Douglas C. Ravenel |
Publisher | : Princeton University Press |
Total Pages | : 228 |
Release | : 1992-11-08 |
Genre | : Mathematics |
ISBN | : 9780691025728 |
Download Nilpotence and Periodicity in Stable Homotopy Theory Book in PDF, ePub and Kindle
Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were conjectured by the author in 1977 and proved by Devinatz, Hopkins, and Smith in 1985. During the last ten years a number of significant advances have been made in homotopy theory, and this book fills a real need for an up-to-date text on that topic. Ravenel's first few chapters are written with a general mathematical audience in mind. They survey both the ideas that lead up to the theorems and their applications to homotopy theory. The book begins with some elementary concepts of homotopy theory that are needed to state the problem. This includes such notions as homotopy, homotopy equivalence, CW-complex, and suspension. Next the machinery of complex cobordism, Morava K-theory, and formal group laws in characteristic p are introduced. The latter portion of the book provides specialists with a coherent and rigorous account of the proofs. It includes hitherto unpublished material on the smash product and chromatic convergence theorems and on modular representations of the symmetric group.