* Erratum
@ 2011-09-20 8:25 Jonathan CHICHE 齊正航
0 siblings, 0 replies; only message in thread
From: Jonathan CHICHE 齊正航 @ 2011-09-20 8:25 UTC (permalink / raw)
To: Categories list
Dear all,
On September 14th, I mentioned a result of Maltsiniotis stating that
the cube category with connections is a strict test category. I added
that Grothendieck conjectured in "Pursuing Stacks" that "an analog of
the Dold-Kan correspondence holds for every strict test category".
Stated this way, this is false, as Clemens Berger and Georges
Maltsiniotis pointed out. A counter-example is provided by any finite
product $\Delta \times \ldots \times \Delta$. (That is, a product of
the simplex category with itself.) The mistake is mine, of course:
the conjecture about the "Dold-Kan type relation" stated by
Grothendieck is weaker than that.
Sorry about that!
Jonathan
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
^ permalink raw reply [flat|nested] only message in thread
only message in thread, other threads:[~2011-09-20 8:25 UTC | newest]
Thread overview: (only message) (download: mbox.gz / follow: Atom feed)
-- links below jump to the message on this page --
2011-09-20 8:25 Erratum Jonathan CHICHE 齊正航
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).