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

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...

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Bibliographic Details
Main Author:	Levitt, N. (Norman), 1943-
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Berlin ; New York : Springer-Verlag, [1989]
Series:	Lecture notes in mathematics (Springer-Verlag) ; 1366.
Subjects:	Grassmann manifolds. Gauss maps. Piecewise linear topology. Differential topology. Grassmann, Variétés de. Topologie différentielle. Topologie linéaire par morceaux. Fonctions gaussiennes. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Introduction
Local Formulae for Characteristic classes
Formal Links and the PL Grassmannian n, k.
Some Variations of the n, k
The Immersion Theorem for Subcomplexes of n, k
Immersions Equivariant with Respect to Orthogonal Actions on Rn+k
Immersions into Triangulated Manifolds
The Grassmannian for Piecewise Smooth Immersions
Some Applications to Smoothing Theory
Equivariant Piecewise Differentiable Immersions
Piecewise Differentiable Immersions into Riemannian Manifolds
Appendix: Glossary of Important Definitions and Constructions
References.