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arXiv · 0906.3433

Metric complements of overt closed sets

Thierry Coquand·Erik Palmgren·Bas Spitters
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Abstract

We show that the set of points of an overt closed subspace of a metric completion of a Bishop-locally compact metric space is located. Consequently, if the subspace is, moreover, compact, then its collection of points is Bishop compact.

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Thierry Coquand, Erik Palmgren, Bas Spitters. 2009-06-18. Metric complements of overt closed sets. https://doi.org/10.1002/malq.201010011

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