Advertisement

Lattices of Closed Subspaces

  • Claude-Alain Faure
  • Alfred Frölicher
Chapter
  • 573 Downloads
Part of the Mathematics and Its Applications book series (MAIA, volume 521)

Abstract

In this chapter and in the following one we consider projective geometries with an additional structure, which consists of a set of distinguished subspaces, called the closed subspaces of the projective geometry. The motivating example comes from the theory of topological vector spaces, which are briefly studied in Section 13.1. Let V be an arbitrary topological vector space. Then the closed subspaces of the associated projective geometry P(V) are the subspaces in the form P(W) where WV is a closed vector subspace.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Claude-Alain Faure
    • 1
  • Alfred Frölicher
    • 1
  1. 1.University of GenevaGenevaSwitzerland

Personalised recommendations