Before revision: Given a category C and a specific object K of C with certain properties, one can construct the category of Dialectica spaces over C, whose objects are pairs of objects of C, related by a C-morphism into the given object.
After revision: (logical)Given a category C and a specific object K of C with certain properties, one can construct the category of Dialectica spaces over C, whose objects are pairs of objects of C, related by a C-morphism into the given object.