Submaximal space

Submaximal space

In mathematics, in the realm of topology, a topological space is said to be submaximal if every subset of it is locally closed, that is, every subset is the intersection of an open set and a closed set.

Here are some facts about submaximality as a property of topological spaces:

* Every door space is submaximal.
* Every submaximal space is "weakly submaximal" viz every finite set is locally closed.

External links

* [http://math.berkeley.edu/~apollo/topodefs.ps A glossary of definitions in topology]


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