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
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