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Author : J. Milgram
Publisher : Springer
ISBN 13 : 3540379258
Total Pages : 117 pages
Book Rating : 4.5/5 (43 download)
Download or read book Unstable Homotopy from the Stable Point of View written by J. Milgram and published by Springer. This book was released on 2006-11-15 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Milgram
Publisher :
ISBN 13 : 9783662172322
Total Pages : 116 pages
Book Rating : 4.1/5 (723 download)
Download or read book Unstable Homotopy from the Stable Point of View written by J. Milgram and published by . This book was released on 2014-01-15 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Barry Mazur
Publisher :
ISBN 13 : 9780387066554
Total Pages : 339 pages
Book Rating : 4.0/5 (665 download)
Download or read book Analyse différentielle written by Barry Mazur and published by . This book was released on 1974 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William G. Dwyer
Publisher : American Mathematical Soc.
ISBN 13 : 0821808249
Total Pages : 326 pages
Book Rating : 4.8/5 (218 download)
Download or read book Stable and Unstable Homotopy written by William G. Dwyer and published by American Mathematical Soc.. This book was released on 1998 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of workshops on stable homotopy theory and on unstable homotopy theory held at The Field Institute as part of the homotopy program for the year 1996. The papers in the volume describe current research in the subject, and all included works were refereed. Rather than being a summary of work to be published elsewhere, each paper is the unique source for the new material it contains. The book contains current research from international experts in the subject area, and presents open problems with directions for future research.
Author : Douglas C. Ravenel
Publisher : American Mathematical Soc.
ISBN 13 : 082182967X
Total Pages : 418 pages
Book Rating : 4.8/5 (218 download)
Download or read book Complex Cobordism and Stable Homotopy Groups of Spheres written by Douglas C. Ravenel and published by American Mathematical Soc.. This book was released on 2003-11-25 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres. The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres. Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids. The book is intended for anyone wishing to study computational stable homotopy theory. It is accessible to graduate students with a knowledge of algebraic topology and recommended to anyone wishing to venture into the frontiers of the subject.
Author : Douglas C. Ravenel
Publisher : Princeton University Press
ISBN 13 : 9780691025728
Total Pages : 228 pages
Book Rating : 4.0/5 (257 download)
Download or read book Nilpotence and Periodicity in Stable Homotopy Theory written by Douglas C. Ravenel and published by Princeton University Press. This book was released on 1992-11-08 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : R.James Milgram
Publisher :
ISBN 13 :
Total Pages : 109 pages
Book Rating : 4.:/5 (164 download)
Download or read book Untable homotopy from the stable point of view written by R.James Milgram and published by . This book was released on 1974 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ioan Mackenzie James
Publisher : Cambridge University Press
ISBN 13 : 9780521379076
Total Pages : 196 pages
Book Rating : 4.3/5 (79 download)
Download or read book Advances in Homotopy Theory written by Ioan Mackenzie James and published by Cambridge University Press. This book was released on 1989-12-07 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume records the lectures given at a conference to celebrate Professor Ioan James' 60th birthday.
Author : Martin C. Tangora
Publisher : American Mathematical Soc.
ISBN 13 : 0821851624
Total Pages : 504 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Topology: Oaxtepec 1991 written by Martin C. Tangora and published by American Mathematical Soc.. This book was released on 1993 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : M. A. Kervaire
Publisher :
ISBN 13 : 9781021177575
Total Pages : 0 pages
Book Rating : 4.1/5 (775 download)
Download or read book Groups of Homotopy Spheres, I written by M. A. Kervaire and published by . This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Charles Crabb
Publisher : Springer Science & Business Media
ISBN 13 : 1447112652
Total Pages : 344 pages
Book Rating : 4.4/5 (471 download)
Download or read book Fibrewise Homotopy Theory written by Michael Charles Crabb and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology occupies a central position in modern mathematics, and the concept of the fibre bundle provides an appropriate framework for studying differential geometry. Fibrewise homotopy theory is a very large subject that has attracted a good deal of research in recent years. This book provides an overview of the subject as it stands at present.
Author : Haynes R. Miller
Publisher : American Mathematical Soc.
ISBN 13 : 0821850202
Total Pages : 466 pages
Book Rating : 4.8/5 (218 download)
Download or read book Proceedings of the Northwestern Homotopy Theory Conference written by Haynes R. Miller and published by American Mathematical Soc.. This book was released on 1983 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karsten Grove
Publisher : American Mathematical Soc.
ISBN 13 : 082182158X
Total Pages : 410 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometry and Topology: Aarhus written by Karsten Grove and published by American Mathematical Soc.. This book was released on 2000 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Joseph Neisendorfer
Publisher : Cambridge University Press
ISBN 13 : 1139482599
Total Pages : 575 pages
Book Rating : 4.1/5 (394 download)
Download or read book Algebraic Methods in Unstable Homotopy Theory written by Joseph Neisendorfer and published by Cambridge University Press. This book was released on 2010-02-18 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy groups. The author introduces various aspects of unstable homotopy theory, including: homotopy groups with coefficients; localization and completion; the Hopf invariants of Hilton, James, and Toda; Samelson products; homotopy Bockstein spectral sequences; graded Lie algebras; differential homological algebra; and the exponent theorems concerning the homotopy groups of spheres and Moore spaces. This book is suitable for a course in unstable homotopy theory, following a first course in homotopy theory. It is also a valuable reference for both experts and graduate students wishing to enter the field.
Author : R.F. Dickman
Publisher : Springer
ISBN 13 : 3540379487
Total Pages : 297 pages
Book Rating : 4.5/5 (43 download)
Download or read book Topology Conference written by R.F. Dickman and published by Springer. This book was released on 2006-11-15 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Brian A. Munson
Publisher : Cambridge University Press
ISBN 13 : 1107030250
Total Pages : 649 pages
Book Rating : 4.1/5 (7 download)
Download or read book Cubical Homotopy Theory written by Brian A. Munson and published by Cambridge University Press. This book was released on 2015-10-06 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.
Author : Bjorn Ian Dundas
Publisher : Springer Science & Business Media
ISBN 13 : 3540458972
Total Pages : 228 pages
Book Rating : 4.5/5 (44 download)
Download or read book Motivic Homotopy Theory written by Bjorn Ian Dundas and published by Springer Science & Business Media. This book was released on 2007-07-11 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lectures given at a summer school on motivic homotopy theory at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002. Aimed at graduate students in algebraic topology and algebraic geometry, it contains background material from both of these fields, as well as the foundations of motivic homotopy theory. It will serve as a good introduction as well as a convenient reference for a broad group of mathematicians to this important and fascinating new subject. Vladimir Voevodsky is one of the founders of the theory and received the Fields medal for his work, and the other authors have all done important work in the subject.
