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arxiv: 1009.3410 · v2 · pith:6UNBJX5Cnew · submitted 2010-09-17 · 🧮 math.GN · cs.LO· math.CT· math.LO

Duality and canonical extensions for stably compact spaces

classification 🧮 math.GN cs.LOmath.CTmath.LO
keywords canonicalcompactdualityspacesstablyalgebraicconstructdescription
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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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