ISBN: 9780691081458

ID: 1924479448

The intention of the authors is to examine the relationship between piecewise linear structure and differential structure: a relationship, they assert, that can be understood as a homotopy obstruction theory, and, hence, can be studied by using the traditional techniques of algebraic topology. Thus the book attacks the problem of existence and classification (up to isotopy) of differential structures compatible with a given combinatorial structure on a manifold. The problem is completely ´´solved´´ in the sense that it is reduced to standard problems of algebraic topology. The first part of the book is purely geometrical; it proves that every smoothing of the product of a manifold M and an interval is derived from an essentially unique smoothing of M. In the second part this result is used to translate the classification of smoothings into the problem of putting a linear structure on the tangent microbundle of M. This in turn is converted to the homotopy problem of classifying maps from M into a certain space PL/O. The set of equivalence classes of smoothings on M is given a natural abelian group structure. Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Princeton University Press

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ISBN: 9780691081458

ID: 865844772

The intention of the authors is to examine the relationship between piecewise linear structure and differential structure: a relationship, they assert, that can be understood as a homotopy obstruction theory, and, hence, can be studied by using the traditional techniques of algebraic topology. Thus the book attacks the problem of existence and classification (up to isotopy) of differential structures compatible with a given combinatorial structure on a manifold. The problem is completely ´´solved´´ in the sense that it is reduced to standard problems of algebraic topology. The first part of the book is purely geometrical; it proves that every smoothing of the product of a manifold M and an interval is derived from an essentially unique smoothing of M. In the second part this result is used to translate the classification of smoothings into the problem of putting a linear structure on the tangent microbundle of M. This in turn is converted to the homotopy problem of classifying maps from M into a certain space PL/O. The set of equivalence classes of smoothings on M is given a natural abelian group structure. Smoothings of Piecewise Linear Manifolds Buch (fremdspr.) Taschenbuch 01.10.1974 Bücher>Fremdsprachige Bücher>Englische Bücher, Princeton University Press, .197

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1974, ISBN: 9780691081458

ID: 6260361

The intention of the authors is to examine the relationship between piecewise linear structure and differential structure: a relationship, they assert, that can be understood as a homotopy obstruction theory, and, hence, can be studied by using the traditional techniques of algebraic topology. Thus the book attacks the problem of existence and classification (up to isotopy) of differential structures compatible with a given combinatorial structure on a manifold. The problem is completely 'solved' in the sense that it is reduced to standard problems of algebraic topology. The first part of the book is purely geometrical; it proves that every smoothing of the product of a manifold M and an interval is derived from an essentially unique smoothing of M. In the second part this result is used to translate the classification of smoothings into the problem of putting a linear structure on the tangent microbundle of M. This in turn is converted to the homotopy problem of classifying maps from M into a certain space PL/O. The set of equivalence classes of smoothings on M is given a natural abelian group structure. Buch (fremdspr.) Taschenbuch, University Presses, 21.10.1974, University Presses, 1974

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ISBN: 9780691081458

ID: 2684314

The intention of the authors is to examine the relationship between piecewise linear structure and differential structure: a relationship, they assert, that can be understood as a homotopy obstruction theory, and, hence, can be studied by using the traditional techniques of algebraic topology. Thus the book attacks the problem of existence and classification (up to isotopy) of differential structures compatible with a given combinatorial structure on a manifold. The problem is completely "solved" in the sense that it is reduced to standard problems of algebraic topology. The first part of the book is purely geometrical; it proves that every smoothing of the product of a manifold M and an interval is derived from an essentially unique smoothing of M. In the second part this result is used to translate the classification of smoothings into the problem of putting a linear structure on the tangent microbundle of M. This in turn is converted to the homotopy problem of classifying maps from M into a certain space PL/O. The set of equivalence classes of smoothings on M is given a natural abelian group structure. Mathematics Mathematics eBook, Princeton University Press

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1974, ISBN: 069108145X

ID: A1004004

Kartoniert / Broschiert MATHEMATICS / Linear & Nonlinear Programming, mit Schutzumschlag neu, [PU:Princeton University Press]

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## ISBN: 9780691081458

ID: 6260361

The intention of the authors is to examine the relationship between piecewise linear structure and differential structure: a relationship, they assert, that can be understood as a homotop… More...

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Kartoniert / Broschiert MATHEMATICS / Linear & Nonlinear Programming, mit Schutzumschlag neu, [PU:Princeton University Press]

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** Details of the book - Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80**

EAN (ISBN-13): 9780691081458

ISBN (ISBN-10): 069108145X

Paperback

Publishing year: 1974

Publisher: Princeton University Press

148 Pages

Weight: 0,181 kg

Language: eng/Englisch

Book in our database since 2007-08-06T20:51:48-04:00 (New York)

Detail page last modified on 2019-11-14T08:19:24-05:00 (New York)

ISBN/EAN: 069108145X

ISBN - alternate spelling:

0-691-08145-X, 978-0-691-08145-8

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