We characterize the category of Sambin’s positive topologies as the result of the Grothendieck construction applied to a doctrine over the category Loc of locales. We then construct an adjunction between the category of positive topologies and that of topological spaces Top, and show that the well-known adjunction between Top and Loc factors through the constructed adjunction.
Factorizing the Top-Loc adjunction through positive topologies
Ciraulo Francesco
;Maschio Samuele
2021
Abstract
We characterize the category of Sambin’s positive topologies as the result of the Grothendieck construction applied to a doctrine over the category Loc of locales. We then construct an adjunction between the category of positive topologies and that of topological spaces Top, and show that the well-known adjunction between Top and Loc factors through the constructed adjunction.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Ciraulo2021_Article_FactorizingTheMathbfTopTopMath.pdf
accesso aperto
Tipologia:
Published (publisher's version)
Licenza:
Creative commons
Dimensione
305.28 kB
Formato
Adobe PDF
|
305.28 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
