Algebraic methods in unstable homotopy theory [E-Book] / Joseph Neisendorfer.
Neisendorfer, Joseph, (author)
Cambridge : Cambridge University Press, 2010
1 online resource (xix, 554 pages)
englisch
9780511691638
9780521760379
New mathematical monographs ; 12
Full Text
Table of Contents:
  • Homotopy groups with coefficients
  • A general theory of localization
  • Fibre extensions of squares and the Peterson-Stein formula
  • Hilton-Hopf invariants and the EHP sequence
  • James-Hopf invariants and Toda-Hopf 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 Peterson-Stein formula; 4. Hilton-Hopf invariants and the EHP sequence; 5. James-Hopf invariants and Toda-Hopf 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.