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Grassmannians and Gauss Maps in Piecewise-Linear Topology by Norman Levitt
Grassmannians and Gauss Maps in Piecewise-Linear Topology by Norman Levitt
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Grassmannians and Gauss Maps in Piecewise-Linear Topology

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Description

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.
Release date NZ
February 22nd, 1989
Author
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
  • Undergraduate
Illustrations
V, 203 p.
Pages
203
Dimensions
156x234x11
ISBN-13
9783540507567
Product ID
2841600

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