
Rational Homotopy Type
A Constructive Study via the Theory of the I*-measure
Wen-tsün Wu(Author)
Springer (Publisher)
Published on 15. July 1987
Book
Paperback/Softback
X, 222 pages
978-3-540-13611-8 (ISBN)
Description
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.
More details
Series
Edition
1987 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
X, 222 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 13 mm
Weight
353 gr
ISBN-13
978-3-540-13611-8 (9783540136118)
DOI
10.1007/BFb0081997
Schweitzer Classification
Content
Fundamental concepts. Measure and calculability.- Dga and minimal model.- The de rham-sullivan theorem and I*-measure.- I*-measure and homotopy.- I*-measure of a homogeneous space - The cartan theorem.- Effective computation and axiomatic system of I*-measure.- I*-measures connected with fibrations.