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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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Contenuti
Fundamental concepts. Measure and calculability.- Dga and minimal model.- The de rham-sullivan theorem and I*-measure.- I*-measure and homotopy.- I*-measure of a homogeneous space — The cartan theorem.- Effective computation and axiomatic system of I*-measure.- I*-measures connected with fibrations.
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Rational homotopy type. A constructive study via the theory of the I*-measure.
Da: Antiquariat Bookfarm, Löbnitz, Germania
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Softcover. 219 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. R-16294 3540136118 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2479728
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Rational Homotopy Type: A Constructive Study via the Theory of the I*-measure (Lecture Notes in Mathematics, 1264)
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Rational Homotopy Type : A Constructive Study Via the Theory of the I*-measure
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Rational Homotopy Type (Paperback)
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Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 1987
ISBN 10: 3540136118
ISBN 13: 9783540136118
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Paperback. Condizione: 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. Codice articolo 9783540136118
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Rational Homotopy Type: A Constructive Study via the Theory of the I*-measure (Lecture Notes in Mathematics, 1264)
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Rational Homotopy Type: A Constructive Study via the Theory of the I*-measure (Lecture Notes in Mathematics, 1264)
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Rational Homotopy Type : A Constructive Study via the Theory of the I*-measure
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PF. Condizione: New. Codice articolo 6666-IUK-9783540136118
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Rational Homotopy Type
Editore:
Springer Berlin Heidelberg Jul 1987, 1987
ISBN 10: 3540136118
ISBN 13: 9783540136118
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: 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. Codice articolo 9783540136118
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Rational Homotopy Type : A Constructive Study Via the Theory of the I*-measure
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Condizione: As New. Unread book in perfect condition. Codice articolo 6908948
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Rational Homotopy Type
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Condizione: 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. Codice articolo 4882264
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