Stone duality for spectral sheaves and the patch monad

We establish a duality between global sheaves on spectral spaces and right distributive bands. This is a sheaf-theoretical extension of classical Stone duality between spectral spaces and bounded distributive lattices. The topology of a spectral space admits a refinement, the so-called patch topolog...

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Veröffentlicht in:	Journal of pure and applied algebra 2023-06, Vol.227 (6), p.107306, Article 107306
Hauptverfasser:	Berger, Clemens, Gehrke, Mai
Format:	Artikel
Sprache:	eng
Schlagworte:	Distributive band Distributive skew lattice Mathematics Patch monad Spectral sheaf Spectral space Stone duality
Online-Zugang:	Volltext
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