Read While You Wait - Get immediate ebook access, if available*, when you order a print book

Lecture Notes in Mathematics

Grassmannians and Gauss Maps in Piecewise-Linear Topology

Authors: Levitt, Norman

Free Preview

Buy this book

eBook $34.99
price for USA in USD
  • ISBN 978-3-540-46078-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $46.00
price for USA in USD
About this book

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.

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $34.99
price for USA in USD
  • ISBN 978-3-540-46078-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $46.00
price for USA in USD
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Grassmannians and Gauss Maps in Piecewise-Linear Topology
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1366
Copyright
1989
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-46078-7
DOI
10.1007/BFb0084994
Softcover ISBN
978-3-540-50756-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
V, 203
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works and instructor copies are not included.