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- Clopen_set abstract "In topology, a clopen set (a portmanteau of closed-open set) in a topological space is a set which is both open and closed. That this is possible may seem counter-intuitive, as the common meanings of open and closed are antonyms. But their mathematical definitions are not mutually exclusive. A set is closed if its complement is open, which leaves the possibility of an open set whose complement is also open, making both sets both open and closed, and therefore clopen.".
- Clopen_set thumbnail Pseudoforest.svg?width=300.
- Clopen_set wikiPageExternalLink topology.htm.
- Clopen_set wikiPageExternalLink topology.htm.
- Clopen_set wikiPageID "233398".
- Clopen_set wikiPageLength "4056".
- Clopen_set wikiPageOutDegree "24".
- Clopen_set wikiPageRevisionID "703317157".
- Clopen_set wikiPageWikiLink Boolean_algebra_(structure).
- Clopen_set wikiPageWikiLink Boundary_(topology).
- Clopen_set wikiPageWikiLink Category:General_topology.
- Clopen_set wikiPageWikiLink Closed_set.
- Clopen_set wikiPageWikiLink Complement_(set_theory).
- Clopen_set wikiPageWikiLink Connected_space.
- Clopen_set wikiPageWikiLink Discrete_space.
- Clopen_set wikiPageWikiLink Empty_set.
- Clopen_set wikiPageWikiLink Intersection_(set_theory).
- Clopen_set wikiPageWikiLink Interval_(mathematics).
- Clopen_set wikiPageWikiLink Locally_connected_space.
- Clopen_set wikiPageWikiLink Mutual_exclusivity.
- Clopen_set wikiPageWikiLink Open_set.
- Clopen_set wikiPageWikiLink Portmanteau.
- Clopen_set wikiPageWikiLink Rational_number.
- Clopen_set wikiPageWikiLink Real_line.
- Clopen_set wikiPageWikiLink Stones_representation_theorem_for_Boolean_algebras.
- Clopen_set wikiPageWikiLink Subspace_topology.
- Clopen_set wikiPageWikiLink Topological_space.
- Clopen_set wikiPageWikiLink Topology.
- Clopen_set wikiPageWikiLink Union_(set_theory).
- Clopen_set wikiPageWikiLink File:Pseudoforest.svg.
- Clopen_set wikiPageWikiLinkText ""clopen" set".
- Clopen_set wikiPageWikiLinkText "Clopen set".
- Clopen_set wikiPageWikiLinkText "both open and closed".
- Clopen_set wikiPageWikiLinkText "clopen set".
- Clopen_set wikiPageWikiLinkText "clopen subsets".
- Clopen_set wikiPageWikiLinkText "clopen".
- Clopen_set wikiPageWikiLinkText "closed and open".
- Clopen_set wikiPageUsesTemplate Template:Cite_web.
- Clopen_set wikiPageUsesTemplate Template:Reflist.
- Clopen_set subject Category:General_topology.
- Clopen_set type Redirect.
- Clopen_set comment "In topology, a clopen set (a portmanteau of closed-open set) in a topological space is a set which is both open and closed. That this is possible may seem counter-intuitive, as the common meanings of open and closed are antonyms. But their mathematical definitions are not mutually exclusive. A set is closed if its complement is open, which leaves the possibility of an open set whose complement is also open, making both sets both open and closed, and therefore clopen.".
- Clopen_set label "Clopen set".
- Clopen_set sameAs Q320369.
- Clopen_set sameAs Conjunt_clopen.
- Clopen_set sameAs Abgeschlossene_offene_Menge.
- Clopen_set sameAs Fermito-malfermita_aro.
- Clopen_set sameAs Conjunto_clopen.
- Clopen_set sameAs Ouvert-fermé.
- Clopen_set sameAs Nyílt-zárt_halmaz.
- Clopen_set sameAs Insieme_chiuso-aperto.
- Clopen_set sameAs 開かつ閉集合.
- Clopen_set sameAs 열리고_닫힌_집합.
- Clopen_set sameAs Clopen_verzameling.
- Clopen_set sameAs Zbiór_otwarto-domknięty.
- Clopen_set sameAs m.01hy02.
- Clopen_set sameAs Q320369.
- Clopen_set sameAs 闭开集.
- Clopen_set wasDerivedFrom Clopen_set?oldid=703317157.
- Clopen_set depiction Pseudoforest.svg.
- Clopen_set isPrimaryTopicOf Clopen_set.