bornological space

Much as a topological structure on a set is a notion of which subsets are ‘open’, so a bornological structure, or bornology, on a set is a notion of which subsets are ‘bounded’.

So far, we only discuss bornological topological vector spaces. See bornological set for the general notion of bornological space.

However, we can tell that bornological spaces and certain morphisms between them form a category $Born$.

- Wikipedia about bornological spaces
- Jiri Adamek, Horst Herrlich, and George Strecker,
*Abstract and concrete categories: the joy of cats*. free online

Revised on May 23, 2013 02:52:37
by Toby Bartels
(64.89.53.120)