Effective local compactness and the hyperspace of located sets
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Abstract (arXiv)
We revisit the definition of effective local compactness, and propose an approach that works for arbitrary countably-based spaces extending the previous work on computable metric spaces. We use this to show that effective local compactness suffices to ensure that the hyperspace of closed-and-overt sets (aka located sets, aka closed sets with full information) is computably compact and computably metrizable.
Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). First posted on arXiv 13 Mar 2019.
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Citing papers per year: 2021: 1.
1 paper.
- 2021A Computability Perspective on (Verified) Machine Learning12 Feb 2021