Rational Homotopy Type

Wen-Tsün Wu

ISBN 10: 3540136118 / ISBN 13: 9783540136118

Edité par Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 1987, 1987

A propos de cet article

Neuware -This comprehensive monograph provides a self-contained treatment of the theory of I\*-measure, or Sullivan's rational homotopy theory, from a constructive point of view. It centers on the notion of calculability which is due to the author himself, as are the measure-theoretical and constructive points of view in rational homotopy. The I\*-measure is shown to differ from other homology and homotopy measures in that it is calculable with respect to most of the important geometric constructions encountered in algebraic topology. This approach provides a new method of treatment and leads to various new results. In particular, an axiomatic system of I\*-measure is formulated, quite different in spirit from the usual Eilenberg-Steenrod axiomatic system for homology, and giving at the same time an algorithmic method of computation of the I\*-measure in concrete cases. The book will be of interest to researchers in rational homotopy theory and will provide them with new ideas and lines of research to develop further.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 228 pp. Englisch.

N° de réf. du vendeur 9783540136118

Détails bibliographiques

• Titre: Rational Homotopy Type
• Éditeur: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 1987
• Date de parution: 1987
• Langue: anglais
• ISBN à 10 chiffres: 3540136118
• ISBN à 13 chiffres: 9783540136118
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 13 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 13 millimètres de profondeur
• Poids: 353 grammes

A propos de ce titre

Synopsis

This comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point of view. It centers on the notion of calculability which is due to the author himself, as are the measure-theoretical and constructive points of view in rational homotopy. The I*-measure is shown to differ from other homology and homotopy measures in that it is calculable with respect to most of the important geometric constructions encountered in algebraic topology. This approach provides a new method of treatment and leads to various new results. In particular, an axiomatic system of I*-measure is formulated, quite different in spirit from the usual Eilenberg-Steenrod axiomatic system for homology, and giving at the same time an algorithmic method of computation of the I*-measure in concrete cases. The book will be of interest to researchers in rational homotopy theory and will provide them with new ideas and lines of research to develop further.