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* lax monad
@ 1999-03-13  4:10 Gaunce Lewis
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From: Gaunce Lewis @ 1999-03-13  4:10 UTC (permalink / raw)
  To: categories

I am looking for literature references for the notion of a 'lax' monad (or
triple), and lax algebras over such, in the context of 2-categories--the
definition being that the usual diagrams commute only up to a 2-cell.  Can
anyone suggest good references?  

Thanks,
Gaunce Lewis 



^ permalink raw reply	[flat|nested] 2+ messages in thread

* Re: lax monad
@ 1999-03-14 23:39 Ross Street
  0 siblings, 0 replies; 2+ messages in thread
From: Ross Street @ 1999-03-14 23:39 UTC (permalink / raw)
  To: categories

>I am looking for literature references for the notion of a 'lax' monad (or
>triple), and lax algebras over such, in the context of 2-categories--the
>definition being that the usual diagrams commute only up to a 2-cell.  Can
>anyone suggest good references?

Some good old references are:

M. Barr "Relational algebras" SLNM 137 (1970) 39-55
M. Bunge, "Coherent extensions and relational algebras" Transactions AMS
around 1974.
G.M. Kelly & R. Street, "Review of the elements of 2-categories" SLNM 420
(1974) 75-103.

--Ross





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