Lexicography of Subsets of Topological Vector Spaces

Idea

There are many different types of special subset of topological vector space. The purpose here is to list many of them, to note easy relationships between them, and to remark on their use.

Lexicography

Some of these only make sense if the vector space is the dual of some other space.

Absorbing

Bounded

Bornivorous

Closed

Circled

Compact

Convex

Equicontinuous

Precompact

Radial

Weakly Compact

Weakly Bounded

Weakly Closed

Revised on November 30, 2011 17:20:07
by Andrew Stacey
(129.241.15.200)