About: Regular open set

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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

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  • 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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  • 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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  • Regulär offene Menge (de)
  • Regular open set (en)
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