Algebraic Methods in Unstable Homotopy Theory

Hardcover (Print)
Buy New
Buy New from BN.com
$134.90
Used and New from Other Sellers
Used and New from Other Sellers
from $50.00
Usually ships in 1-2 business days
(Save 65%)
Other sellers (Hardcover)
  • All (8) from $50.00   
  • New (5) from $123.74   
  • Used (3) from $50.00   

Overview

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.

Read More Show Less

Editorial Reviews

From the Publisher
"It is very well written and organized, as would be expected of the author, who is renowned for an excellent expository style. The book could, and should, be used as a text for students aiming to do research in unstable homotopy theory. By the end of a thorough reading, a student would be well grounded in a suite of contemporary methods and would be ready to tackle research problems. The book's comprehensive nature also means that it is a wonderful reference for experts in the area. In conclusion, this is a very good book and anyone in the field ought to have it near to hand."
Stephen Theriault, Bulletin of the London Mathematical Society

"... provides a new generation of topologists with a readable and workmanlike collection of important techniques and results, arranged in a readable sequence, with many interesting applications (not available anywhere else in a single source) treated in a unified manner."
David A. Blanc, Mathematical Reviews

Read More Show Less

Product Details

  • ISBN-13: 9780521760379
  • Publisher: Cambridge University Press
  • Publication date: 3/31/2010
  • Series: New Mathematical Monographs Series , #12
  • Pages: 574
  • Product dimensions: 6.20 (w) x 9.00 (h) x 1.60 (d)

Meet the Author

Joseph Neisendorfer is Professor Emeritus in the Department of Mathematics at the University of Rochester, New York.

Read More Show Less

Table of Contents

Introduction to unstable homotopy theory 1

1 Homotopy groups with coefficients 11

2 A general theory of localization 35

3 Fibre extensions of squares and the Peterson-Stein formula 94

4 Hilton-Hopf invariants and the EHP sequence 107

5 James-Hopf invariants and Toda-Hopf invariants 135

6 Samelson products 158

7 Bockstein spectral sequences 221

8 Lie algebras and universal enveloping algebras 251

9 Applications of graded Lie algebras 283

10 Differential homological algebra 313

11 Odd primary exponent theorems 437

12 Differential homological algebra of classifying spaces 489

Bibliography 545

Index 550

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)