# Difference between revisions of "Anti-discrete space"

From Encyclopedia of Mathematics

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

+ | ''indiscrete space'' | ||

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+ | A [[topological space]] in which only the empty set and the entire space are open. | ||

====Comments==== | ====Comments==== | ||

− | Other frequently occurring names for this topological space are indiscrete space and trivial topological space. | + | 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. |

## Revision as of 12:15, 3 January 2016

*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=32068

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