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Grassmannians and Gauss Maps in Piecewise-Linear Topology (Lecture Notes in Mathematics)
 
 
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Grassmannians and Gauss Maps in Piecewise-Linear Topology (Lecture Notes in Mathematics) [Paperback]

Norman Levitt (Author)


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Paperback, April 1989 --  

Book Description

April 1989 0387507566 978-0387507569
The book explores the possibility of extending the notions of "Grassmannian" and "Gauss map" to the PL category. They are distinguished from "classifying space" and "classifying map" which are essentially homotopy-theoretic notions. The analogs of Grassmannian and Gauss map defined incorporate geometric and combinatorial information. Principal applications involve characteristic class theory, smoothing theory, and the existence of immersion satifying certain geometric criteria, e.g. curvature conditions. The book assumes knowledge of basic differential topology and bundle theory, including Hirsch-Gromov-Phillips theory, as well as the analogous theories for the PL category. The work should be of interest to mathematicians concerned with geometric topology, PL and PD aspects of differential geometry and the geometry of polyhedra.
--This text refers to an alternate Paperback edition.

Product Details

  • Paperback: 203 pages
  • Publisher: Springer-Verlag (April 1989)
  • Language: English
  • ISBN-10: 0387507566
  • ISBN-13: 978-0387507569
  • Product Dimensions: 9.2 x 6.1 x 0.5 inches
  • Shipping Weight: 12.2 ounces
  • Amazon Best Sellers Rank: #9,334,066 in Books (See Top 100 in Books)

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