Algebraic Methods in Unstable Homotopy Theory (New Mathematical Monographs, Series Number 12) 1st Edition by Joseph Neisendorfer (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review “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 Book Description The most modern and thorough treatment of unstable homotopy theory available. About the Author Joseph Neisendorfer is Professor Emeritus in the Department of Mathematics at the University of Rochester, New York. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐A must have if you want to do homotopy groups

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