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Bordism, Stable Homotopy and Adams Spectral Sequences de Stanley O. Kochman

Bordism, Stable Homotopy and Adams Spectral Sequences: Fields Institute Monographs

Autor Stanley O. Kochman
en Limba Engleză Hardback – 15 sep 1996
Presents lecture notes that were prepared for the graduate course 'Adams Spectral Sequences and Stable Homotopy Theory' given at The Fields Institute during the fall of 1995. This book describes various developments in stable homotopy theory, such as the nilpotence and periodicity theorems.
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Specificații

ISBN-13: 9780821806005
ISBN-10: 0821806009
Pagini: 272
Ilustrații: Illustrations
Dimensiuni: 182 x 260 x 20 mm
Greutate: 0.67 kg
Editura: American Mathematical Society
Seria Fields Institute Monographs

Locul publicării:Oxford, United States

Descriere

This book is a compilation of lecture notes that were prepared for the graduate course "Adams Spectral Sequences and Stable Homotopy Theory" given at the Fields Institute during the autumn of 1995. The aim of this volume is to prepare students with a knowledge of elementary algebraic topology to study recent developments in stable homotopy theory, such as the nilpotence and periodicty theormes.Suitable as a text for an intermediate course in algebraic topology, this book provides a direct exposition of the basic concepts of bordism, characteristic classes, Adamsspectral sequences, Brown-Peterson spectra and the computation of stable stems. The key ideas are presented in complete detail without becoming encyclopedic. The approach to characteristic classes and some of the methods for computing stable stems have not been published previously.

Recenzii

'The contents of Kochman's book look promising to the would-be student, with five well-balanced chapters augmented by sections on further reading... Kochman's own imprint is unmistakable, with smatterings of the prodigious computations which have made him famous... The book is clearly self-contained for those of quantitative bent, and gives an uncompromising feel for the joys and sorrows ahead... beautifully produced, with diagrams recalling the more expansive 1960s, andstudents who attend Stan's lectures will surely find it an invaluable and encyclopaedic accompaniment'. Bulletin of the London Mathematical Society