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:
Download or read book Analyse diff rentielle 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:
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:
Download or read book Complex Cobordism and Stable Homotopy Groups of Spheres written by Douglas C. Ravenel and published by American Mathematical Society. This book was released on 2023-02-09 with total page 417 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.
Download or read book Stable and Unstable Homotopy written by William G. Dwyer and published by American Mathematical Soc.. This book was released on 1998-01-01 with total page 328 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 Fields Institute as part of the homotopy program during 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.
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 Fields Institute as part of the homotopy program during 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.
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.
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:
Download or read book Secondary Cohomology Operations written by John R. Harper and published by American Mathematical Soc.. This book was released on 2002 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the theory and applications of secondary cohomology operations are an important part of an advanced graduate-level algebraic topology course, there are few books on the subject. The AMS now fills that gap with the publication of the present volume. The author's main purpose in this book is to develop the theory of secondary cohomology operations for singular cohomology theory, which is treated in terms of elementary constructions from general homotopy theory. Among manyapplications considered are the Hopf invariant one theorem (for all primes $p$, including $p = 2$), Browder's theorem on higher Bockstein operations, and cohomology theory of Massey-Peterson fibrations. Numerous examples and exercises help readers to gain a working knowledge of the theory. A summary ofmore advanced parts of the core material is included in the first chapter. Prerequisite is basic algebraic topology, including the Steenrod operations. The book is geared toward graduate students and research mathematicians interested in algebraic topology and can be used for self-study or as a textbook for an advanced course on the topic. It is available in both hardcover and softcover editions.
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.
Download or read book The Geometric Hopf Invariant and Surgery Theory written by Michael Crabb and published by Springer. This book was released on 2018-01-24 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds. Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract results are included in the book, making it of wide interest to topologists. Serving as a valuable reference, this work is aimed at graduate students and researchers interested in understanding how the algebraic and geometric topology fit together in the surgery theory of manifolds. It is the only book providing such a wide-ranging historical approach to the Hopf invariant, double points and surgery theory, with many results old and new.
Download or read book Geometric Applications of Homotopy Theory I written by M. G. Barratt and published by Springer. This book was released on 2006-11-15 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fixed Point Theory written by E. Fadell and published by Springer. This book was released on 2006-11-14 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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.
Download or read book Higher Homotopy Structures in Topology and Mathematical Physics written by James D. Stasheff and published by American Mathematical Soc.. This book was released on 1999 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the work of Stasheff and Sugawara in the 1960s on recognition of loop space structures on $H$-spaces, the notion of higher homotopies has grown to be a fundamental organizing principle in homotopy theory, differential graded homological algebra and even mathematical physics. This book presents the proceedings from a conference held on the occasion of Stasheff's 60th birthday at Vassar in June 1996. It offers a collection of very high quality papers and includes some fundamental essays on topics that open new areas.
Download or read book Operads in Algebra Topology and Physics written by Martin Markl and published by American Mathematical Soc.. This book was released on 2002 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operads are mathematical devices which describe algebraic structures of many varieties and in various categories. From their beginnings in the 1960s, they have developed to encompass such areas as combinatorics, knot theory, moduli spaces, string field theory and deformation quantization.
