Core-compactness of Smyth powerspaces
General Topology
2019-07-11 v1
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.
Keywords
Cite
@article{arxiv.1907.04715,
title = {Core-compactness of Smyth powerspaces},
author = {Zhenchao Lyu and Xiaodong Jia},
journal= {arXiv preprint arXiv:1907.04715},
year = {2019}
}
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4 pages