Google full text of our books:


Smoothings of Piecewise Linear Manifolds. (AM-80)
Morris W. Hirsch & Barry Mazur

Paperback | 1974 | $72.50 | £54.95 | ISBN: 9780691081458
140 pp. | 6 x 9
Add to Shopping Cart

eBook | ISBN: 9781400881680 |
Our eBook editions are available from these online vendors

Google full text of this book:

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.

Other Princeton books authored or coauthored by Barry Mazur:


Subject Area:


Shopping Cart options:

  • For ebooks:

Our eBook editions are available
from these online vendors:

  • Google Play eBook Store
  • Many of our ebooks are available through
    library electronic resources including these platforms:

  • Books at JSTOR
  • Ebrary
  • Ebook Library
  • EBSCO Ebooks
  • MyiLibrary
  • Dawsonera (UK)

    • For hardcover/paperback orders in United States, Canada, Latin America, Asia, and Australia

     Paperback : $72.50 ISBN: 9780691081458

    Add to shopping cart
    View contents of your shopping cart

    • For hardcover/paperback orders in Europe, Africa, the Middle East, India, and Pakistan

     Paperback : £54.95 ISBN: 9780691081458

    Add to shopping cart
    View contents of your shopping cart

    Prices subject to change without notice

    File created: 10/12/2016

    Questions and comments to:
    Princeton University Press

    New Book E-mails
    New In Print
    PUP Blog
    Princeton APPS
    Sample Chapters
    Princeton Legacy Library
    Exam/Desk Copy
    Recent Awards
    Princeton Shorts
    Freshman Reading
    PUP Europe
    About Us
    Contact Us
    PUP Home

    Bookmark and Share
    Send me emails
    about new books in:
    More Choices