Core-compactness of Smyth powerspaces

Abstract

We prove that the Smyth powerspace Q(X) of a topological space X is core-compact if and only if X is locally compact. As a straightforward consequence we obtain that the Smyth powerspace construction does not preserve core-compactness generally.

4 pages

References in corpus (1)

• Join-continuity + Hypercontinuity = Prime continuity

Cited by in corpus (1)

• Some open problems on well-filtered spaces and sober spaces