Subcontinua of the Higson corona (Q1371935)

From MaRDI portal





scientific article; zbMATH DE number 1083977
Language Label Description Also known as
English
Subcontinua of the Higson corona
scientific article; zbMATH DE number 1083977

    Statements

    Subcontinua of the Higson corona (English)
    0 references
    25 October 1998
    0 references
    It is proven that the Higson corona \(\nu X\) of a metric space \(X\) has the following feature of the remainder of the Stone-Čech compactification \(\beta X\smallsetminus X\) : the closure of a \(\sigma\)-compact set \(A\subset\nu X\) is homeomorphic to \(\beta A\).
    0 references
    Higson corona
    0 references
    Stone-Čech compactification
    0 references
    \(\sigma\)-compact set
    0 references
    0 references

    Identifiers