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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Rational Homotopy Type: A Constructive Study Via the Theory of the I*-Measure

Rational Homotopy Type: A Constructive Study Via the Theory of the I*-Measure

Wu, Wen-Tsün

Paperback

Series: Lecture Notes in Mathematics, Book 1264

General MathematicsGeometry

ISBN10: 3540136118
ISBN13: 9783540136118
Publisher: Springer
Published: Jul 15 1987
Pages: 222
Weight: 0.72
Height: 0.48 Width: 6.14 Depth: 9.21
Language: English
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.

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