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Effective local compactness and the hyperspace of located sets

arXiv 1903.05490 ↗First posted 13 Mar 2019cs.LO math.LOcited by 1

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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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