Rational Homotopy Type

A Constructive Study via the Theory of the I*-measure

  • Authors
  • Wu Wen-tsün

Part of the Lecture Notes in Mathematics book series (LNM, volume 1264)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Wu Wen-tsün
    Pages 20-57
  3. Wu Wen-tsün
    Pages 93-115
  4. Wu Wen-tsün
    Pages 178-213
  5. Back Matter
    Pages 214-219

About this book

Introduction

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.

Keywords

Algebraic topology Homotopy fibrations homology homotopy theory

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0081997
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-13611-8
  • Online ISBN 978-3-540-39025-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book