Good coverings for section spaces of fibre bundles

In this note, existence of good coverings for section spaces of smooth fibre bundles is shown by resorting to the Riemannian geometry of the L 2 -metric, via the construction of strongly convex neighbourhoods, in close analogy with the finite dimensional case.

Saved in:
Bibliographic Details
Published in:Topology and its applications 2010-04, Vol.157 (6), p.1081-1085, Article 1081
Main Authors: Spera, Mauro, Wurzbacher, Tilmann
Format: Article
Language:English
Subjects:
Good coverings
Section spaces of fibre bundles
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this note, existence of good coverings for section spaces of smooth fibre bundles is shown by resorting to the Riemannian geometry of the L 2 -metric, via the construction of strongly convex neighbourhoods, in close analogy with the finite dimensional case.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2010.01.008