Duality and canonical extensions for stably compact spaces

2010/09/30 by Sam van Gool · 1 citation
Mathematics · Computer Science · #math.GN #cs.LO #math.CT #math.LO #msc:54H99 #msc:03G10 #msc:18A35

paper · pdf · doi:10.1016/j.topol.2011.09.040

published as Topology and its Applications, Vol. 159, No. 1, pp. 341-359 (2012) · 29 pages, 1 figure

arxiv created 2011/10/08 · arxiv updated 2012/06/28

Abstract

We construct a canonical extension for strong proximity lattices in order to give an algebraic, point-free description of a finitary duality for stably compact spaces. In this setting not only morphisms, but also objects may have distinct pi- and sigma-extensions.

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