From: burroni@math.jussieu.fr
To: Categories mailing list <categories@mta.ca>
Subject: question on pseudomorphisms
Date: Mon, 23 Nov 2009 13:55:01 +0100 [thread overview]
Message-ID: <E1NCj0V-0002dt-8I@mailserv.mta.ca> (raw)
Dear all,
Has the following question been already studied and, if it is the case
(it is my opinion), where ?
Let T be a monad on Cat (not necessarily a 2-monad), C the category of
T-algebras and C' the catégorie with the same objets but with
pseudomorphisms (morphisms up to natural isomorphisms --- eventually
with coherences).
The inclusion i : C --> C' has a left adjoint j : C' --> C.
The question is : for all T-algebra A, is the canonical morphisms m :
A --> i(j(A)) an equivalence (of the underlying categories) ?
Regards,
Albert
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next reply other threads:[~2009-11-23 12:55 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
2009-11-23 12:55 burroni [this message]
2009-11-24 1:13 Steve Lack
[not found] <C7317E69.95F9%s.lack@uws.edu.au>
2009-11-24 19:50 ` burroni
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