TY  - GEN
AU  - Menni,Matías
TI  - Continuous cohesion over sets
KW  - MATEMÁTICAS
KW  - cohesión axiomática
N1  - Formato de archivo PDF. -- Este documento es producción intelectual de la Facultad de Informática - UNLP (Colección BIPA/Biblioteca); Theory And Applications Of Categories, 29(20), pp. 542-568
N2  - A pre-cohesive geometric morphism p : E → S satisfies Continuity if the canonical p!(Xp ∗S) → (p!X) S is an iso for every X in E and S in S. We show that if S = Set and E is a presheaf topos then, p satisfies Continuity if and only if it is a quality type. Our proof of this characterization rests on a related result showing that Continuity and Sufficient Cohesion are incompatible for presheaf toposes. This incompatibility raises the question whether Continuity and Sufficient Cohesion are ever compatible for Grothendieck toposes. We show that the answer is positive by building some examples
UR  - http://hdl.handle.net/11336/46008
ER  -