A relation between closure operators on a small category and its category of presheaves

• Autores: S.N. Hosseini, S.SH Mousavi
• Localización: Applied categorical structures, ISSN 0927-2852, Vol. 14, Nº 2, 2006, págs. 99-110
• Idioma: inglés
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• Resumen

  • In this paper we show that each factorization structure on a small category , satisfying certain conditions, yields a presheaf on and a morphism of presheaves . We then give connections, and set up one to one correspondences, between subclasses of the following classes: (a) closure operators on (b) subobjects of (c) morphisms from to (d) weak Lawvere¿Tierney topologies (e) weak Grothendieck topologies (f) closure operators on