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Difference between revisions of "Door space"

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A topological space in which every subset is either open or closed.
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{{TEX|done}}{{MSC|54F99}}
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A [[topological space]] in which every subset is either open or closed.
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Door spaces are examples of [[submaximal space]]s.
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====References====
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* McCartan, S.D. ''Door spaces are identifiable'' Proc. R. Ir. Acad., Sect. A '''87''' (1987) 13-16 {{ZBL|0646.54028}}

Latest revision as of 18:40, 19 November 2016

2020 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.


References

  • McCartan, S.D. Door spaces are identifiable Proc. R. Ir. Acad., Sect. A 87 (1987) 13-16 Zbl 0646.54028
How to Cite This Entry:
Door space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Door_space&oldid=16721
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