Cargando…
Grassmannians and Gauss maps in piecewise-linear 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...
Autor principal: | |
---|---|
Lenguaje: | eng |
Publicado: |
Springer
1989
|
Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/BFb0084994 http://cds.cern.ch/record/1691450 |
_version_ | 1780935755947835392 |
---|---|
author | Levitt, Norman |
author_facet | Levitt, Norman |
author_sort | Levitt, Norman |
collection | CERN |
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. |
id | cern-1691450 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1989 |
publisher | Springer |
record_format | invenio |
spelling | cern-16914502021-04-21T21:09:51Zdoi:10.1007/BFb0084994http://cds.cern.ch/record/1691450engLevitt, NormanGrassmannians and Gauss maps in piecewise-linear topologyMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:16914501989 |
spellingShingle | Mathematical Physics and Mathematics Levitt, Norman Grassmannians and Gauss maps in piecewise-linear topology |
title | Grassmannians and Gauss maps in piecewise-linear topology |
title_full | Grassmannians and Gauss maps in piecewise-linear topology |
title_fullStr | Grassmannians and Gauss maps in piecewise-linear topology |
title_full_unstemmed | Grassmannians and Gauss maps in piecewise-linear topology |
title_short | Grassmannians and Gauss maps in piecewise-linear topology |
title_sort | grassmannians and gauss maps in piecewise-linear topology |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/BFb0084994 http://cds.cern.ch/record/1691450 |
work_keys_str_mv | AT levittnorman grassmanniansandgaussmapsinpiecewiselineartopology |