Rational Homotopy Type: A Constructive Study via the Theory of the I*-measure: 1264 (Lecture Notes in Mathematics) - Tapa blanda

Wen-tsun, Wu

 
9783540136118: Rational Homotopy Type: A Constructive Study via the Theory of the I*-measure: 1264 (Lecture Notes in Mathematics)
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ISBN 10: 3540136118 ISBN 13: 9783540136118
Editorial: Springer Berlin Heidelberg, 2008

Sinopsis

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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Reseña del editor

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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Editorial
Springer Berlin Heidelberg
Año de publicación
2008
Idioma
Inglés
ISBN 10 
3540136118
ISBN 13 
9783540136118
Encuadernación
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Número de páginas
228
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9780387136110: Rational Homotopy Type: A Constructive Study Via the Theory of the I*-Measure (Lecture Notes in Mathematics)

Edición Destacada

ISBN 10:  0387136118 ISBN 13:  9780387136110
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