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math.CT2023
A Gelfand duality for continuous lattices
Ruiyuan Chen
We prove that the category of continuous lattices and meet- and directed join-preserving maps is dually equivalent, via the hom functor to , to the category of complete Arch…
math.CT2021
On sifted colimits in the presence of pullbacks
Ruiyuan Chen
We show that in a category with pullbacks, arbitrary sifted colimits may be constructed as filtered colimits of reflexive coequalizers. This implies that "lex sifted colimits", in…
math.CT2016
Amalgamable diagram shapes
Ruiyuan Chen
A category has the amalgamation property (AP) if every pushout diagram has a cocone, and the joint embedding property (JEP) if every finite coproduct diagram has a cocone. We show…