Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Tautological Control SystemsTopologies for Spaces of Vector Fields

Tautological Control Systems: Topologies for Spaces of Vector Fields [In this chapter we review the definitions of the topologies we use for spaces of Lipschitz, finitely differentiable, smooth, and real analytic vector fields. We comment that all topologies we define are locally convex topologies, of which the normed topologies are a special case. However, few of the topologies we define, and none of the interesting ones, are normable. We, therefore, begin with a very rapid review of locally convex topologies, and why they are inevitable in work such as we undertake here.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Tautological Control SystemsTopologies for Spaces of Vector Fields

Download PDF
10 pages

Loading next page...
 
/lp/springer-journals/tautological-control-systems-topologies-for-spaces-of-vector-fields-EgwcKeIFig
Publisher
Springer International Publishing
Copyright
© The Author(s) 2014
ISBN
978-3-319-08637-8
Pages
21 –30
DOI
10.1007/978-3-319-08638-5_2
Publisher site
See Chapter on Publisher Site

Abstract

[In this chapter we review the definitions of the topologies we use for spaces of Lipschitz, finitely differentiable, smooth, and real analytic vector fields. We comment that all topologies we define are locally convex topologies, of which the normed topologies are a special case. However, few of the topologies we define, and none of the interesting ones, are normable. We, therefore, begin with a very rapid review of locally convex topologies, and why they are inevitable in work such as we undertake here.]

Published: Jul 23, 2014

Keywords: Vector Bundle; Convex Space; Linear Connection; Normed Topology; Fibre Norm

There are no references for this article.