nLab
bornological space

Bornological spaces

Idea

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’.

Definitions

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 BornBorn.

References

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