Continuous cohesion over sets

Título:

Continuous cohesion over sets

Autor:

Menni, Matías

Colaboradores:

; 

Temas:

MATEMÁTICAS

En:

Theory And Applications Of Categories, 29(20), pp. 542-568.

Resumen:

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.

URL/DOI:

http://hdl.handle.net/11336/46008

Palabras clave:

cohesión axiomática

Medio:

Soporte electrónico

Tipo de documento:

Artículo

Descripción física:

1 archivo (421,2 kB)

Idioma:

Inglés

Publicación:

, 2014

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