We study the algebras for the double power monad on the Sierpinski space in the Cartesian closed category of equilogical spaces and produce a connection of the algebras with frames. The results hint at a possible synthetic, constructive approach to frames via algebras, in line with that considered in Abstract Stone Duality by Paul Taylor and others.

Frames and Topological Algebras for a Double-Power Monad

Frosoni, G;Rosolini, G;
2019

Abstract

We study the algebras for the double power monad on the Sierpinski space in the Cartesian closed category of equilogical spaces and produce a connection of the algebras with frames. The results hint at a possible synthetic, constructive approach to frames via algebras, in line with that considered in Abstract Stone Duality by Paul Taylor and others.
File in questo prodotto:
File Dimensione Formato  
FRS_fratad.pdf

accesso aperto

Tipologia: Documento in Post-print
Dimensione 251.62 kB
Formato Adobe PDF
251.62 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11567/1000689
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact