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{{TEX|done}}{{MSC|54F99}}

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

Door spaces are examples of [[submaximal space]]s.


====References====
* McCartan, S.D. ''Door spaces are identifiable'' Proc. R. Ir. Acad., Sect. A '''87''' (1987) 13-16 {{ZBL|0646.54028}}

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How to Cite This Entry:
Door space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Door_space&oldid=39776

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

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