Автор: Douglas C. Ravenel
Название: Nilpotence and Periodicity in Stable Homotopy Theory
Издательство: Published by: Princeton University Press
Год: 1992
Формат: pdf DjVu
Размер: 27Мб
Страниц:224
Язык: Английский

Ravenel's first few chapters are written with a general mathematical audience in mind. They survey both the ideas that lead up to the theorems and their applications to homotopy theory. The book begins with some elementary concepts of homotopy theory that are needed to state the problem. This includes such notions as homotopy, homotopy equivalence, CW-complex, and suspension. Next the machinery of complex cobordism, Morava K-theory, and formal group laws in characteristic p are introduced. The latter portion of the book provides specialists with a coherent and rigorous account of the proofs. It includes hitherto unpublished material on the smash product and chromatic convergence theorems and on modular representations of the symmetric group.