Author

Publication

2006 - Springer London, Limited

Language

English

Word Count

50,750 words, Guess

Page Count

203 pages

Identifiers

  • ISBN-139783540460787
  • ISBN-103540460780
  • Better World Books9783540460787
  • Open LibraryOL37149877M

Classifications

  • LCCQA613-613.8

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.

Subjects

Other Editions

  • Grassmannians and Gauss Maps in Piecewise-Linear TopologySpringer London, Limited2006

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