21 citations · 60 across the 23 of their papers we have counts for
4 papers · 1 filter
A general method for building reflections
Olivia Caramello
We establish a general method for generating reflections between categories. We then apply our technique to generate adjunctions starting from geometric morphisms between Grothendi…
Site characterizations for geometric invariants of toposes
Olivia Caramello
We discuss the problem of characterizing the property of a Grothendieck topos to satisfy a given 'geometric' invariant as a property of its sites of definition, and indicate a set…
The unification of Mathematics via Topos Theory - Russian version
Olivia Caramello
We present a set of principles and methodologies which may serve as foundations of a unifying theory of Mathematics. These principles are based on a new view of Grothendieck topose…
A topos-theoretic approach to Stone-type dualities
Olivia Caramello
We present an abstract unifying framework for interpreting Stone-type dualities; several known dualities are seen to be instances of just one topos-theoretic phenomenon, and new du…