STONE DUALITY FOR SPECTRAL SHEAVES AND THE PATCH MONAD - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Pure and Applied Algebra Année : 2023

STONE DUALITY FOR SPECTRAL SHEAVES AND THE PATCH MONAD

Résumé

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 topology, giving rise to a patch monad on sheaves over a fixed spectral space. Under the duality just mentioned the algebras of this patch monad are shown to correspond to distributive skew lattices.
Fichier principal
Vignette du fichier
BeGe22.pdf (549.69 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03863117 , version 1 (21-11-2022)

Identifiants

Citer

Clemens Berger, Mai Gehrke. STONE DUALITY FOR SPECTRAL SHEAVES AND THE PATCH MONAD. Journal of Pure and Applied Algebra, In press, 227 (6), pp.107306. ⟨10.1016/j.jpaa.2022.107306⟩. ⟨hal-03863117⟩
12 Consultations
27 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More