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arXiv · 1907.04715

Core-compactness of Smyth powerspaces

Zhenchao Lyu·Xiaodong Jia
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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.

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Zhenchao Lyu, Xiaodong Jia. 2019-07-10. Core-compactness of Smyth powerspaces. https://arxiv.org/abs/1907.04715

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