Stable Homotopy Over The Steenrod Algebra

Download Stable Homotopy Over The Steenrod Algebra full books in PDF, epub, and Kindle. Read online free Stable Homotopy Over The Steenrod Algebra ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Complex Cobordism and Stable Homotopy Groups of Spheres

Complex Cobordism and Stable Homotopy Groups of Spheres
Author :
Publisher : American Mathematical Soc.
Total Pages : 418
Release :
ISBN-10 : 9780821829677
ISBN-13 : 082182967X
Rating : 4/5 (67X Downloads)

Book Synopsis Complex Cobordism and Stable Homotopy Groups of Spheres by : Douglas C. Ravenel

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.


Complex Cobordism and Stable Homotopy Groups of Spheres Related Books

Complex Cobordism and Stable Homotopy Groups of Spheres
Language: en
Pages: 418
Authors: Douglas C. Ravenel
Categories: Mathematics
Type: BOOK - Published: 2003-11-25 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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 o
Stable Homotopy over the Steenrod Algebra
Language: en
Pages: 193
Authors: John Harold Palmieri
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This title applys the tools of stable homotopy theory to the study of modules over the mod $p$ Steenrod algebra $A DEGREES{*}$. More precisely, let $A$ be the d
Spectra and the Steenrod Algebra
Language: en
Pages: 511
Authors: H.R. Margolis
Categories: Mathematics
Type: BOOK - Published: 2011-08-18 - Publisher: Elsevier

DOWNLOAD EBOOK

I have intended this book to be more than just the sum of its chapters, and the introduction is, in part, an attempt to spell out what the more is. Algebraic to
Nilpotence and Periodicity in Stable Homotopy Theory
Language: en
Pages: 228
Authors: Douglas C. Ravenel
Categories: Mathematics
Type: BOOK - Published: 1992-11-08 - Publisher: Princeton University Press

DOWNLOAD EBOOK

Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and p
Stable Homotopy and Generalised Homology
Language: en
Pages: 384
Authors: John Frank Adams
Categories: Mathematics
Type: BOOK - Published: 1974 - Publisher: University of Chicago Press

DOWNLOAD EBOOK

J. Frank Adams, the founder of stable homotopy theory, gave a lecture series at the University of Chicago in 1967, 1970, and 1971, the well-written notes of whi