Rational Homotopy Type: A Constructive Study via the Theory of the I*-measure (Lecture Notes in Mathematics)

Wen-tsuen Wu

ISBN 10: 3540136118 / ISBN 13: 9783540136118

Published by Springer Berlin Heidelberg, 1987

About this Item

1st edition. 228 pages. 9.25x6.10x0.52 inches. In Stock.

Seller Inventory # x-3540136118

Bibliographic Details

• Title: Rational Homotopy Type: A Constructive Study via the Theory of the I*-measure (Lecture Notes in Mathematics)
• Publisher: Springer Berlin Heidelberg
• Publication Date: 1987
• Language: English
• ISBN 10: 3540136118
• ISBN 13: 9783540136118
• Binding: Paperback
• Condition: Brand New
• Weight: 0.35 kilograms

About this title

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.