Metric complements of overt closed sets
Journal article, 2011
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.
locales
formal topology
Constructive analysis
formal topology
Author
Thierry Coquand
University of Gothenburg
E. Palmgren
Uppsala Universitet
Swedish Collegium for Advanced Study (SCAS)
Bas Spitters
Radboud University Nijmegen
Mathematical Logic Quarterly
0942-5616 (ISSN) 1521-3870 (eISSN)
Vol. 57 4 373-378Subject Categories (SSIF 2011)
Other Mathematics
DOI
10.1002/malq.201010011