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From: Gaunce Lewis <lglewis@syr.edu>
To: categories@mta.ca
Subject: comparing cotriples via an adjoint pair
Date: Thu, 20 May 2004 23:28:18 -0400	[thread overview]
Message-ID: <5.1.0.14.2.20040520232118.0235f070@mailbox.syr.edu> (raw)

I have encountered a situation in which I have two categories C, D which
are related by a pair of adjoint functors L from C to D and R from D to
C.  Also, there is a cotriple S on C and a cotriple T on D.  Finally, there
is a natural isomorphism f from RT to SR.  It seems that if a couple of
diagrams relating f to the structure maps of the cotriples commute, then
there is an induced adjoint pair relating the two coalgebra categories.  Is
this, or something similar to it, in the literature in some easily
referenced place?

Thanks,
Gaunce






             reply	other threads:[~2004-05-21  3:28 UTC|newest]

Thread overview: 6+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2004-05-21  3:28 Gaunce Lewis [this message]
2004-05-21 20:30 ` Michael Barr
2004-05-21 20:54 ` Prof. Peter Johnstone
2004-05-22 15:17 ` Oswald Wyler
2004-05-24  9:04 ` Steve Vickers
2004-05-31 13:52 Claudio Hermida

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