Menger curvature may also be defined on a general metric space.

The theorem does not hold as stated for general metric spaces.

Adesa also agreed to develop 26 acres as general retail space for shops and stores.

One can consider even more general spaces.

This holds even if the reals are replaced by a more general topological space.

"Sometimes I spread it all out, and my parents don't want the stuff cluttering up the general space," Sarah said.

A metric space is now considered a special case of a general topological space.

The word bounded makes no sense in a general topological space, without a metric.

Bathrooms in a few places are unisex, with separate facilities in the same general space.

For general topological spaces, however, these three notions of compactness are not equivalent.