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ISBN: 9780691025315

ID: 978069102531

Measured geodesic laminations are a natural generalization of simple closed curves in surfaces, and they play a decisive role in various developments in two-and three-dimensional topology, geometry, and dynamical systems. This book presents a self-contained and comprehensive treatment of the rich combinatorial structure of the space of measured geodesic laminations in a fixed surface. Families of measured geodesic laminations are described by specifying a train track in the surface, and the space of measured geodesic laminations is analyzed by studying properties of train tracks in the surface. The material is developed from first principles, the techniques employed are essentially combinatorial, and only a minimal background is required on the part of the reader. Specifically, familiarity with elementary differential topology and hyperbolic geometry is assumed. The first chapter treats the basic theory of train tracks as discovered by W. P. Thurston, including recurrence, transverse recurrence, and the explicit construction of a measured geodesic lamination from a measured train track. The subsequent chapters develop certain material from R. C. Penner''s thesis, including a natural equivalence relation on measured train tracks and standard models for the equivalence classes (which are used to analyze the topology and geometry of the space of measured geodesic laminations), a duality between transverse and tangential structures on a train track, and the explicit computation of the action of the mapping class group on the space of measured geodesic laminations in the surface. R. C. Penner, Books, Science and Nature, Combinatorics of Train Tracks. (AM-125) Books>Science and Nature, Princeton University Press

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ISBN: 9780691025315

ID: 661347642

We study here one aspect of the mathematics pioneered by William P. Thurston, namely, the rich combinatorial structure of the space of measured geodesic laminations in a fixed surface. Roughly, a train track is a CW complex in the surface (together with extra structure), and appropriate train tracks correspond to charts on this manifold. Combinatorics of Train Tracks. (Am-125) Bücher > Fremdsprachige Bücher > Englische Bücher Taschenbuch 01.12.1991 Buch (fremdspr.), Princeton University Press, .199

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ISBN: 9780691025315

ID: 208a165dd8f7a5b2a79044f7e97199be

Combinatorics of Train Tracks. (Am-125) We study here one aspect of the mathematics pioneered by William P. Thurston, namely, the rich combinatorial structure of the space of measured geodesic laminations in a fixed surface. Roughly, a train track is a CW complex in the surface (together with extra structure), and appropriate train tracks correspond to charts on this manifold. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-691-02531-5, Princeton University Press

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ISBN: 9780691025315

ID: 693521038

We study here one aspect of the mathematics pioneered by William P. Thurston, namely, the rich combinatorial structure of the space of measured geodesic laminations in a fixed surface. Roughly, a train track is a CW complex in the surface (together with extra structure), and appropriate train tracks correspond to charts on this manifold. Combinatorics of Train Tracks. (Am-125) Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Princeton University Press

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** Details of the book - Combinatorics of Train Tracks. (Am-125)**

EAN (ISBN-13): 9780691025315

ISBN (ISBN-10): 0691025312

Hardcover

Paperback

Publishing year: 1991

Publisher: PRINCETON UNIV PR

232 Pages

Weight: 0,327 kg

Language: eng/Englisch

Book in our database since 01.01.2007 03:38:33

Book found last time on 25.07.2017 12:51:48

ISBN/EAN: 0691025312

ISBN - alternate spelling:

0-691-02531-2, 978-0-691-02531-5

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