Algebraic Frames in Priestley duality

Abstract

We characterize Priestley spaces of algebraic, arithmetic, coherent, and Stone frames. As a corollary, we derive the well-known dual equivalences in pointfree topology involving various categories of algebraic frames.

arXiv comment23 pages, 6 figures, 6 tables

References in corpus (2)

• Hofmann-Mislove through the Lenses of Priestley
• Deriving dualities in pointfree topology from Priestley duality