21 citations · 60 across the 23 of their papers we have counts for
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math.CT2014
General affine adjunctions, Nullstellensätze, and dualities
Olivia Caramello, Vincenzo Marra, Luca Spada
We introduce and investigate a category-theoretic abstraction of the standard "system-solution" adjunction in affine algebraic geometry. We then look further into these geometric a…
math.CT2014
Cyclic theories
Olivia Caramello, Nicholas Wentzlaff
We describe a geometric theory classified by Connes-Consani's epicylic topos and two related theories respectively classified by the cyclic topos and by the topos $[{\mathbb N}^{\a…
math.CT2014★ 3 cited
Extensions of flat functors and theories of presheaf type
Olivia Caramello
We develop a general theory of extensions of flat functors along geometric morphisms of toposes, and apply it to the study of the class of theories whose classifying topos is equiv…