Re: coequalizers in the category of algebras for the double power locale triple

["Townsend, Christopher" <Christopher.Townsend@rbccm.com>]

Yes - Fred - that's correct, the question is about the algebras of the double power locale triple (so, over locales and not set). However - Michael - if somehow the example on p72 is applicable in this case (I cannot see how it can be), do please let me know, as I would be very pleased if the question is settled. 

Thanks, Christopher  

-----Original Message-----
From: Fred E.J. Linton [mailto:fejlinton@usa.net] 
Sent: 27 March 2015 16:31
To: Michael Barr; Categories mailing list
Subject: categories: Re: coequalizers in the category of algebras for the double powerset triple

If I had thought Richard's monad was on the category of sets, I'd have answered the same way:

| From: Michael Barr <barr@math.mcgill.ca>
| 
| > Recently there was a question as to whether these coequalizers exist.  
| > Unless I have misunderstood the question, the affirmative answer is 
| > given

| > in the example in the middle of p.72 of Linton's paper in TAC 
| > reprint
#18.

But Richard writes of his monad as being "on the category of locales", and there I'm not so sure ... .

Cheers, -- Fred



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