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Continuous families of coalgebras

✍ Scribed by F. Marmolejo

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 941 KB
Volume: 130
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(97)00090-x

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✦ Synopsis

Given a small pretopos P, we consider the category %~ob(P) of models of P indexed over topological spaces. By considering indexed categories of coalgebras, we show that for any indexed functor F : YJIO~( P) + IUlob( Q), where Q is another small pretopos, the functor F' : Mod(P) + Mod(Q) preserves filtered colimits.

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