Rational Homotopy Type : A Constructive Study via the Theory of the I\*-measure

Language: English

Published by Springer, 1987

3540136118 / 9783540136118

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.; 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 provide them with new ideas and lines of research to develop further.…

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Title
Rational Homotopy Type : A Constructive Study via the Theory of the I\*-measure
Author
Wen-Tsün Wu
Publisher
Springer
Publication year
1987
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540136118
ISBN 13
9783540136118
Item weight
353 grams
Dimensions
235x155x13 mm

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