ENGLISH

Rational Homotopy Type

By Wen-tsün Wu

Book information

Publisher
Springer
Year
1987
ISBN
9783540136118, 3540136118
Open Library ID
OL12771739M
Language
english
Format
DJVU
Filesize
915 kB (937022 bytes)
Series
Lecture Notes in Mathematics
Edition
1
Pages
232\232
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

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.

Similar books