Cohomology Operations and Applications in Homotopy Theory (Dover Books on Mathematics) [Paperback]

Robert E. Mosher (Author), Martin C. Tangora (Author)

Book Description

Series: Dover Books on Mathematics | Publication Date: June 26, 2008

Cohomology operations are at the center of a major area of activity in algebraic topology. This treatment explores the single most important variety of operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications, including several different techniques of homotopy theory useful for computation. 1968 edition.

Product Details

• Paperback: 224 pages
• Publisher: Dover Publications (June 26, 2008)
• Language: English
• ISBN-10: 0486466647
• ISBN-13: 978-0486466644
• Product Dimensions: 8.5 x 5.5 x 0.5 inches
• Shipping Weight: 8 ounces (View shipping rates and policies)
• Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #341,870 in Books (See Top 100 in Books)

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11 of 11 people found the following review helpful:

4.0 out of 5 stars Excellent Resource, February 4, 2009

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Biblio-luster "Biblio-luster" - See all my reviews

This review is from: Cohomology Operations and Applications in Homotopy Theory (Dover Books on Mathematics) (Paperback)

This is a great fast paced introduction to several structures in homotopy theory, by way of carefully explaining Steenrod Squares. You need to understand basic algebraic topology homology/cohomology/homotopy groups very well already, up to the point of obstruction theory and ideally Postnikov towers to take good advantage of what the book offers. The first chapter is an introduction to Eilenberg-MacLane spaces with a 1.5 page review of obstruction theory. The book is well written and pedagogical for the advanced student.