Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 (Annals of Mathematics Studies) by Morris W. Hirsch (PDF)

    3

     

    Ebook Info

    • Published: 2016
    • Number of pages: 140 pages
    • Format: PDF
    • File Size: 3.49 MB
    • Authors: Morris W. Hirsch

    Description

    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.

    User’s Reviews

    Reviews from Amazon users which were colected at the time this book was published on the website:

    ⭐very satisfied

    Keywords

    Free Download Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 (Annals of Mathematics Studies) in PDF format
    Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 (Annals of Mathematics Studies) PDF Free Download
    Download Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 (Annals of Mathematics Studies) 2016 PDF Free
    Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 (Annals of Mathematics Studies) 2016 PDF Free Download
    Download Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 (Annals of Mathematics Studies) PDF
    Free Download Ebook Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 (Annals of Mathematics Studies)

    Previous articleCombinatorial Geometry with Applications to Field Theory, Second Edition, graduate textbook in mathematics by Linfan Mao (PDF)
    Next articleNormal Families Of Meromorphic Functions by Qitai Zhuang (PDF)