Algebraic Methods in Unstable Homotopy Theory: New Mathematical Monographs, cartea 12
Autor Joseph Neisendorferen Limba Engleză Hardback – 17 feb 2010
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Specificații
ISBN-13: 9780521760379
ISBN-10: 0521760372
Pagini: 574
Ilustrații: 275 exercises
Dimensiuni: 162 x 234 x 35 mm
Greutate: 0.93 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria New Mathematical Monographs
Locul publicării:Cambridge, United Kingdom
ISBN-10: 0521760372
Pagini: 574
Ilustrații: 275 exercises
Dimensiuni: 162 x 234 x 35 mm
Greutate: 0.93 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria New Mathematical Monographs
Locul publicării:Cambridge, United Kingdom
Cuprins
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.
Recenzii
'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 expects in the area.' Bulletin of the London Mathematical Society
'… provides a new generation of topologists with a readable and workmanlike collection of important techniques and results …' Mathematical Reviews
'… provides a new generation of topologists with a readable and workmanlike collection of important techniques and results …' Mathematical Reviews
Notă biografică
Descriere
The most modern and thorough treatment of unstable homotopy theory available.