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.
General
Imprint: |
Springer-Verlag
|
Country of origin: |
Germany |
Series: |
Lecture Notes in Mathematics, 1264 |
Release date: |
July 1987 |
First published: |
1987 |
Authors: |
Wen-ts un Wu
|
Dimensions: |
235 x 155 x 12mm (L x W x T) |
Format: |
Paperback
|
Pages: |
222 |
Edition: |
1987 ed. |
ISBN-13: |
978-3-540-13611-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
Algebraic topology
|
LSN: |
3-540-13611-8 |
Barcode: |
9783540136118 |
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