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A Stone duality for metric spaces. (English) Zbl 0789.54035

Seely, R. A. G. (ed.), Category theory 1991. Proceedings of an international summer category theory meeting, held in Montréal, Québec, Canada, June 23-30, 1991. Providence, RI: American Mathematical Society. CMS Conf. Proc. 13, 33-42 (1992).
The authors give a concrete dual of a category of metrizable uniform spaces and well behaved mappings (uniformly continuous and “weakly open”).
For the entire collection see [Zbl 0771.00047].

MSC:

54E35 Metric spaces, metrizability
54H99 Connections of general topology with other structures, applications
06D99 Distributive lattices
18B30 Categories of topological spaces and continuous mappings (MSC2010)
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