Download or read book On PL DeRham Theory and Rational Homotopy Type written by Aldridge Knight Bousfield and published by American Mathematical Soc.. This book was released on 1976 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rational [bold]PL de Rham theory of Sullivan is developed and generalized, using methods of Quillen's "homotopical algebra." For a field k of characteristic 0, a pair of contravariant adjoint functors A : (Simplicial sets) [right arrow over left arrow] (Commutative DG k-algebras) : F is obtained which pass to the appropriate homotopy categories. When k is the field of rationals, these functors induce equivalence between the appropriate simplicial and algebraic rational homotopy categories. The theory is not restricted to simply connected spaces. It is closely related to the theory of "rational localization" (for nilpotent spaces) and "rational completion" in general.
Download or read book On PL de Rham Theory and Rational Homotopy Type written by Aldridge Knight Bousfield and published by . This book was released on 1976 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rational Homotopy Theory and Differential Forms written by Phillip Griffiths and published by Springer Science & Business Media. This book was released on 2013-10-02 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book On PL de Rhaam Theory and Rational Homotopy Type written by and published by . This book was released on 1976 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rational Homotopy Type written by Wen-tsün Wu and published by Lecture Notes in Mathematics. This book was released on 1987-07-15 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Handbook of Algebraic Topology written by I.M. James and published by Elsevier. This book was released on 1995-07-18 with total page 1336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.
Download or read book Algebraic Topology written by P. Hoffman and published by Springer. This book was released on 2006-11-15 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rational Homotopy Type written by Wen-tsun Wu and published by . This book was released on 2014-01-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rational Homotopy Theory written by Yves Felix and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Singularities written by University of Minnesota. Institute for Mathematics and Its Applications and published by American Mathematical Soc.. This book was released on 1989 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the proceedings of the Institute for Mathematics and its Applications Participating Institutions Conference on Singularities, held at the University of Iowa in July 1986. Suitable for researchers in various aspects of singularity theory, this work provides an overview of the state of singularity theory and details work in several subareas.
Download or read book Rational Homotopy Theory Ii written by Steve Halperin and published by World Scientific. This book was released on 2015-02-11 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Homotopy Theory and Models written by Marc Aubry and published by Birkhäuser. This book was released on 2012-12-06 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: In keeping with the general aim of the "D.M.V.-Seminar" series, this book is princi pally a report on a group of lectures held at Blaubeuren by Professors H. J. Baues, S. Halperin and J.-M. Lemaire, from October 30 to November 7, 1988. These lec tures were devoted to providing an introduction to the theory of models in algebraic homotopy. The three lecturers acted in concert to produce a coherent exposition of the theory. Commencing from a common starting point, each of them then proceeded naturally to his own subject of research. The reader who is already familiar with their scientific work will certainly give the lecturers their due. Having been asked by the speakers to take on the responsibility of writing down the notes, it seemed to me that the material elucidated in the short span of fifteen hours was too dense to appear, unedited, in book form. Some amplification was necessary. Of course I submitted to them the final version of this book, which received their approval. I thank them for this token of confidence. I am also grateful to all three for their help and advice in writing this book. I am particularly indebted to J.-M. Lemaire who was indeed very often consulted. For basic notions (in particular those concerning homotopy groups, CW complexes, (co)homology and homological algebra) the reader is advised to refer to the fundamental books written by E. H. Spanier [47], R. M. Switzer [49] and G. Whitehead [52].
Download or read book Torus Actions on the Rational Homotopy Product of Odd Spheres written by Nicolas Michael Ercolani and published by . This book was released on 1980 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Rational Homotopy Theory of Function Spaces written by Samuel Bruce Smith and published by . This book was released on 1993 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rational Homotopy Theory Draft Version 96 2 written by Steve Halperin and published by . This book was released on 1996 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rational Homotopy Theory written by Yves Felix and published by . This book was released on 2011-04-26 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Pacific Journal of Mathematics written by and published by . This book was released on 1999 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
