Lattices of Closed Subspaces
- 573 Downloads
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 W ⊆ V is a closed vector subspace.
Unable to display preview. Download preview PDF.