Door space

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2010 Mathematics Subject Classification: Primary: 54F99 [MSN][ZBL]

A topological space in which every subset is either open or closed.

Door spaces are examples of submaximal spaces.


  • McCartan, S.D. Door spaces are identifiable Proc. R. Ir. Acad., Sect. A 87 (1987) 13-16 Zbl 0646.54028
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Door 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