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

 
9783540136118: Rational Homotopy Type: A Constructive Study via the Theory of the I*-measure: 1264 (Lecture Notes in Mathematics, 1264)

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

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Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783540136118

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 228 pp. Englisch. Seller Inventory # 9783540136118

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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. Seller Inventory # 4882264

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