Algebraic Methods in Unstable Homotopy Theory: 12 (New Mathematical Monographs, Series Number 12)

Joseph Neisendorfer (University of Rochester, New York)

ISBN 10: 0521760372 / ISBN 13: 9780521760379

Edité par Cambridge University Press, United Kingdom, Cambridge, 2010

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 unstable homotopy theory, including: homotopy groups with coefficients; localization and completion; the Hopf invariants of Hilton, James, and Toda; Samelson products; homotopy Bockstein spectral sequences; graded Lie algebras; differential homological algebra; and the exponent theorems concerning the homotopy groups of spheres and Moore spaces. This book is suitable for a course in unstable homotopy theory, following a first course in homotopy theory. It is also a valuable reference for both experts and graduate students wishing to enter the field. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. N° de réf. du vendeur GOR014218306

Synopsis :

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 unstable homotopy theory, including: homotopy groups with coefficients; localization and completion; the Hopf invariants of Hilton, James, and Toda; Samelson products; homotopy Bockstein spectral sequences; graded Lie algebras; differential homological algebra; and the exponent theorems concerning the homotopy groups of spheres and Moore spaces. This book is suitable for a course in unstable homotopy theory, following a first course in homotopy theory. It is also a valuable reference for both experts and graduate students wishing to enter the field.

À propos de l?auteur: Joseph Neisendorfer is Professor Emeritus in the Department of Mathematics at the University of Rochester, New York.

Détails bibliographiques

Titre : Algebraic Methods in Unstable Homotopy ...
Éditeur : Cambridge University Press, United Kingdom, Cambridge
Date d'édition : 2010
Reliure : Paperback
Etat : Very Good