55 citations · 130 across the 18 of their papers we have counts for
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math.LO2013
Distributive envelopes and topological duality for lattices via canonical extensions
Mai Gehrke, Sam Van Gool
We establish a topological duality for bounded lattices. The two main features of our duality are that it generalizes Stone duality for bounded distributive lattices, and that the…
math.LO2013
Stone duality, topological algebra, and recognition
Mai Gehrke
Our main result is that any topological algebra based on a Boolean space is the extended Stone dual space of a certain associated Boolean algebra with additional operations. A part…
math.LO2013★ 27 cited
Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality
Mai Gehrke, Samuel J. van Gool, Vincenzo Marra
We study representations of MV-algebras -- equivalently, unital lattice-ordered abelian groups -- through the lens of Stone-Priestley duality, using canonical extensions as an esse…