Anti-discrete space

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indiscrete space

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


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:
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