Algebraic methods in unstable homotopy theory [EBook] / Joseph Neisendorfer.
Algebraic methods in unstable homotopy theory [EBook] / Joseph Neisendorfer.
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 u...
Personal Name(s):  Neisendorfer, Joseph, (author) 

Imprint: 
Cambridge :
Cambridge University Press,
2010

Physical Description: 
1 online resource (xix, 554 pages) 
Note: 
englisch 
ISBN: 
9780511691638 9780521760379 
Series Title: 
New mathematical monographs ;
12 
Subject (LOC):  
Full Text 
Table of Contents:
 Homotopy groups with coefficients
 A general theory of localization
 Fibre extensions of squares and the PetersonStein formula
 HiltonHopf invariants and the EHP sequence
 JamesHopf invariants and TodaHopf invariants
 Samelson products
 Bockstein spectral sequences
 Lie algebras and universal enveloping algebras
 Applications of graded Lie algebras
 Differential homological algebra
 Odd primary exponent theorems
 Differential homological algebra of classifying spaces.
 Machine generated contents note: Preface; Introduction; 1. Homotopy groups with coefficients; 2. A general theory of localization; 3. Fibre extensions of squares and the PetersonStein formula; 4. HiltonHopf invariants and the EHP sequence; 5. JamesHopf invariants and TodaHopf invariants; 6. Samelson products; 7. Bockstein spectral sequences; 8. Lie algebras and universal enveloping algebras; 9. Applications of graded Lie algebras; 10. Differential homological algebra; 11. Odd primary exponent theorems; 12. Differential homological algebra of classifying spaces; Bibliography; Index.