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Smoothings Of Piecewise Linear Manifolds
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Book Synopsis Smoothings of Piecewise Linear Manifolds by : Morris W. Hirsch
Download or read book Smoothings of Piecewise Linear Manifolds written by Morris W. Hirsch and published by Princeton University Press. This book was released on 1974-10-21 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 by : Morris W. Hirsch
Download or read book Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 written by Morris W. Hirsch and published by Princeton University Press. This book was released on 2016-03-02 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Smoothing of piecewise linear manifolds by : Morris W.. Hirsch
Download or read book Smoothing of piecewise linear manifolds written by Morris W.. Hirsch and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Smoothing of Piecewise Linear Manifolds by : Morris W. Hirsch
Download or read book Smoothing of Piecewise Linear Manifolds written by Morris W. Hirsch and published by . This book was released on 1964 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Deformation of Smooth and Piecewise Linear Manifolds Structures by : Rc Kirby
Download or read book Deformation of Smooth and Piecewise Linear Manifolds Structures written by Rc Kirby and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Transversality for Piecewise Linear Manifolds by : Mark Anthony Armstrong
Download or read book Transversality for Piecewise Linear Manifolds written by Mark Anthony Armstrong and published by . This book was released on with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 1988 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.
Book Synopsis Taming and Unknotting Problems in Piecewise Linear Manifolds by : Joseph Atkins Childress
Download or read book Taming and Unknotting Problems in Piecewise Linear Manifolds written by Joseph Atkins Childress and published by . This book was released on 1970 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel
Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Encyclopaedia of Mathematics (set) by : Michiel Hazewinkel
Download or read book Encyclopaedia of Mathematics (set) written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 1994-02-28 with total page 982 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopaedia of Mathematics is the most up-to-date, authoritative and comprehensive English-language work of reference in mathematics which exists today. With over 7,000 articles from `A-integral' to `Zygmund Class of Functions', supplemented with a wealth of complementary information, and an index volume providing thorough cross-referencing of entries of related interest, the Encyclopaedia of Mathematics offers an immediate source of reference to mathematical definitions, concepts, explanations, surveys, examples, terminology and methods. The depth and breadth of content and the straightforward, careful presentation of the information, with the emphasis on accessibility, makes the Encyclopaedia of Mathematics an immensely useful tool for all mathematicians and other scientists who use, or are confronted by, mathematics in their work. The Enclyclopaedia of Mathematics provides, without doubt, a reference source of mathematical knowledge which is unsurpassed in value and usefulness. It can be highly recommended for use in libraries of universities, research institutes, colleges and even schools.
Book Synopsis End Point Compactifications of Piecewise Linear Manifolds by : Andrew Joseph Machusko
Download or read book End Point Compactifications of Piecewise Linear Manifolds written by Andrew Joseph Machusko and published by . This book was released on 1968 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Smoothings of Piecewix Linear Manifolds by :
Download or read book Smoothings of Piecewix Linear Manifolds written by and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Deformation of Smooth and Piecewise Linear Manifold Structures I. by : Rc Kirby
Download or read book Deformation of Smooth and Piecewise Linear Manifold Structures I. written by Rc Kirby and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: