From: Michael Barr <barr@math.mcgill.ca>
To: "Categories list\" <Categories list>" <categories@mta.ca>
Subject: Mea culpa
Date: Wed, 9 Aug 2017 16:32:56 -0400 (EDT) [thread overview]
Message-ID: <E1dgKuE-0005yJ-Bu@mlist.mta.ca> (raw)
As I was preparing a paper based on the talk I gave in Vancouver on a
simplicial acyclic models theorem, I realized that the argument I gave was
flawed. I had asserted that a certain square commuted by naturality.
Suffice it to say it didn't. The result, which I have examined very
closely in the special case of a standard resolution by a cotriple, just
does not seem true. The problem comes from the commuting of s^0. It
might seem that that means only failure of commutation with s^0, but that
is the base of an induction and I must conclude that none of degeneracies
work. Thus I have not advanced in any way on Kleisli's 1974 paper which
is an acyclic models theorem for semi-simplicial complexes.
Given that there were at least two talks on duality at the meeting, what I
should have spoken on was my paper on Topological *-autonomous categories,
revisited. It can be found on my web site http://www.math.mcgill.ca/barr/
as the most recent paper. It corrects, fills in the gaps of and adds some
new material to my 2006 paper found in TAC, 2006.
Michael
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
reply other threads:[~2017-08-09 20:32 UTC|newest]
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