From: grandis@dima.unige.it (Marco Grandis)
To: categories@mta.ca
Subject: Finitely presentable presheaves
Date: Tue, 16 May 2000 16:55:28 +0100 [thread overview]
Message-ID: <v02140b02b5471e6c6cd0@[130.251.167.61]> (raw)
Consider the category of presheaves C^ on a small category, C.
Plainly, a finite colimit F of representables presheaves is finitely
presentable, in the usual sense: C^(F, -) preserves filtered colimits.
But the converse is also true and seemingly well known: every finitely
presentable presheaf is a finite colimit of representables.
Is this proved somewhere?
Best regards
Marco Grandis
Dipartimento di Matematica
Universita' di Genova
via Dodecaneso 35
16146 GENOVA, Italy
e-mail: grandis@dima.unige.it
tel: +39.010.353 6805 fax: +39.010.353 6752
http://www.dima.unige.it/STAFF/GRANDIS/
ftp://pitagora.dima.unige.it/WWW/FTP/GRANDIS/
next reply other threads:[~2000-05-16 15:55 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
2000-05-16 15:55 Marco Grandis [this message]
2000-05-17 8:04 S.J.Vickers
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