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corona set
In mathematics, the corona or corona set of a topological space ''X'' is the complement β''X''\''X'' of the space in its Stone–Čech compactification β''X''.
A topological space is said to be σ-compact if it is the union of countably many compact subspaces, and locally compact if every point has a neighbourhood with compact closure. The corona of a σ-compact and locally compact Hausdorff space is a sub-Stonean space, i.e., any two open σ-compact disjoint subsets have disjoint compact closures.
==See also==
*Corona theorem
*Corona algebra, a non-commutative analogue of the corona set.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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