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Grassmannians and Gauss Maps in Piecewise-Linear Topology

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Product Code: 9783540507567
ISBN13: 9783540507567
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$52.17

Grassmannians and Gauss Maps in Piecewise-Linear Topology

$52.17
 
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.


Author: Norman Levitt
Publisher: Springer
Publication Date: Feb 22, 1989
Number of Pages: 203 pages
Binding: Paperback or Softback
ISBN-10: 3540507566
ISBN-13: 9783540507567
 

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