# Anti-discrete space

From Encyclopedia of Mathematics

*indiscrete space*

A topological space in which only the empty set and the entire space are open.

#### Comments

Other frequently occurring names for this topological space are indiscrete space and trivial topological space, although the latter term can also refer specifically to a space with only one point.

**How to Cite This Entry:**

Anti-discrete space.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Anti-discrete_space&oldid=37316

This article was adapted from an original article by A.A. Mal'tsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article