Grassmannians and Gauss maps in piecewise-linear and piecewise-differentiable topology /

Grassmannians and Gauss maps in piecewise-linear and piecewise-differentiable topology /

Saved in:

Bibliographic Details
Author / Creator:	Levitt, N. (Norman), 1943-
Imprint:	Berlin ; New York : Springer-Verlag, ©1989.
Description:	1 online resource (v, 203 pages) : illustrations.
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1366 Lecture notes in mathematics (Springer-Verlag) ; 1366.
Subject:	Grassmann manifolds. Gauss maps. Piecewise linear topology. Differential topology. Differential topology. Gauss maps. Grassmann manifolds. Piecewise linear topology.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11070429

Hidden Bibliographic Details
ISBN:	9783540460787 3540460780 9783540507567 3540507566 9780387507569 0387507566
Notes:	Includes bibliographical references (pages 202-203). Restrictions unspecified Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 digitized 2010 HathiTrust Digital Library committed to preserve Print version record.
Summary:	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.
Other form:	Print version: Levitt, N. (Norman), 1943- Grassmannians and Gauss maps in piecewise-linear and piecewise-differentiable topology. Berlin ; New York : Springer-Verlag, ©1989 0387507566

Description
Summary:	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.
Physical Description:	1 online resource (v, 203 pages) : illustrations.
Format:	Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:	Includes bibliographical references (pages 202-203).
ISBN:	9783540460787 3540460780 9783540507567 3540507566 9780387507569 0387507566
ISSN:	0075-8434 ;