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.
Product Identifiers
Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783540507567
eBay Product ID (ePID)
95242432
Product Key Features
Author
Norman Levitt
Publication Name
Grassmannians and Gauss Maps in Piecewise-Linear Topology