## Abstract It is well known that in Bishopβstyle constructive mathematics, the closure of the union of two subsets of β is βnotβ the union of their closures. The dual situation, involving the complement of the closure of the union, is investigated constructively, using completeness of the ambient
Metric complements of overt closed sets
β Scribed by Thierry Coquand; Erik Palmgren; Bas Spitters
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 117 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
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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