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词条 Corona set
释义

  1. See also

  2. References

In mathematics, the corona or corona set of a topological space X is the complement βX\\X of the space in its Stone–Čech compactification βX.

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.

References

  • {{Citation | last1=Grove | first1=Karsten | last2=Pedersen | first2=Gert Kjærgård | title=Sub-Stonean spaces and corona sets | doi=10.1016/0022-1236(84)90028-4 | mr=735707 | year=1984 | journal=Journal of Functional Analysis | issn=0022-1236 | volume=56 | issue=1 | pages=124–143}}

1 : Topology

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