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From: Michael Shulman <shulman@sandiego.edu>
To: categories <categories@mta.ca>
Subject: adjoints to lax-idempotent algebra structures
Date: Fri, 15 Nov 2013 22:20:01 -0800	[thread overview]
Message-ID: <E1Vi2Xr-0007nE-4w@mlist.mta.ca> (raw)

Let T be a lax-idempotent (i.e. Kock-Zoberlein) 2-monad (or
pseudomonad).  Then to give a pseudo T-algebra structure on an object
A is to give a left adjoint a : TA -> A to the unit e : A -> TA.  Has
anyone studied and/or named the class of T-algebras for which the
algebra structure map admits a further left adjoint?  In examples,
this seems to be a sort of "super-exactness" condition.

Mike


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             reply	other threads:[~2013-11-16  6:20 UTC|newest]

Thread overview: 4+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2013-11-16  6:20 Michael Shulman [this message]
     [not found] ` <f19fee6fc4884cb3b334a8dc69ad9470@LANDO.ad.sandiego.edu>
     [not found]   ` <CAOvivQxa1SOZ7nzeK-MMn0fgqCOinVxf43n8kubK05Hc96TMAA@mail.gmail.com>
2013-11-18 20:40     ` Michael Shulman
2013-11-19 10:04       ` Martin Escardo
2013-11-17 20:43 Fred E.J. Linton

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