A subset of a topological space is called a regular open set if it is equal to the interior of its closure; expressed symbolically, if or, equivalently, if where and denote, respectively, the interior, closure and boundary of A subset of is called a regular closed set if it is equal to the closure of its interior; expressed symbolically, if or, equivalently, if
| Property |
Value |
| dbo:abstract |
A subset of a topological space is called a regular open set if it is equal to the interior of its closure; expressed symbolically, if or, equivalently, if where and denote, respectively, the interior, closure and boundary of A subset of is called a regular closed set if it is equal to the closure of its interior; expressed symbolically, if or, equivalently, if (en) |
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dbr:Closure_(topology) dbr:Boundary_(topology) dbr:Closed_set dbr:Complete_Boolean_algebra dbr:Join_and_meet dbc:General_topology dbr:Interior_(topology) dbr:Open_set dbr:Euclidean_topology dbr:Topological_space dbr:Open_Interval dbr:Clopen_subset |
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dbt:ISBN dbt:Reflist dbt:Willard_General_Topology |
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dbc:General_topology |
| rdfs:comment |
A subset of a topological space is called a regular open set if it is equal to the interior of its closure; expressed symbolically, if or, equivalently, if where and denote, respectively, the interior, closure and boundary of A subset of is called a regular closed set if it is equal to the closure of its interior; expressed symbolically, if or, equivalently, if (en) |
| rdfs:label |
Regulär offene Menge (de) Regular open set (en) |
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wikidata:Regular open set dbpedia-de:Regular open set https://global.dbpedia.org/id/GDtCk |
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wikipedia-en:Regular_open_set?oldid=1108715655&ns=0 |
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wikipedia-en:Regular_open_set |
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dbr:Regular_closed_set |
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dbr:Interior_algebra dbr:Semiregular_space dbr:Glossary_of_set_theory dbr:Complete_Boolean_algebra dbr:Pointless_topology dbr:Glossary_of_topology dbr:Regular_space dbr:Collapsing_algebra dbr:Boolean-valued_model dbr:Open_and_closed_maps dbr:Open_set dbr:Separation_axiom dbr:List_of_types_of_sets dbr:Regular_closed_set |
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wikipedia-en:Regular_open_set |