On The Existence Of Category Bicompletions

Autor:	Day, Brian J.
Rok vydání:	2009
Předmět:	Mathematics - Category Theory Mathematics - Commutative Algebra
Druh dokumentu:	Working Paper
Popis:	A completeness conjecture is advanced concerning the free small-colimit completion P(A) of a (possibly large) category A. The conjecture is based on the existence of a small generating-cogenerating set of objects in A. We sketch how the validity of the result would lead to the existence of an Isbell-Lambek bicompletion C(A) of such an A, without a "change-of-universe" procedure being necessary to describe or discuss the bicompletion.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0909.5010 Zobrazit plný text záznamu View this record from Arxiv