Subject: Response to Vitali Kapovitch letter
Date: Mon, 04 Nov 2002 09:41:01 +0100
From: Krzysztof Pawalowski
To: Don Davis
> Dear Professor Davis,
> Please post the following as a response to Pawalowski's question on
> Poincare conjecture:
>
> Nikitin uses a wrong definition of simply connectedness (page 11).
> He calls a simplicial complex simply connected if any embedded circle
> in the 1-skeleton bounds and EMBEDDED 2-disk (i.e all circles in the
> 1-skeleton are unknotted). I've stopped reading after that so
> I don't know if there are any more issues.
> Vitali Kapovitch
As Andrew Ranicki has pointed out to me, at the web page
http://mathforum.org/epigone/sci.math.research/slultwilspand/f18e1pyhy97y@legacy
there is a copy of the e-mail Christophe Margerin sent
to Sergey Nikitin giving a counter-example to the main
statement ("normal form": thm 2.8) of Nikitin's paper.
As Christophe Margerin writes, the construction is very
elementary and does not require any sophisticated concept nor
argument, but it leaves almost no hope to fix Nikitin's "proof".
Krzysztof Pawalowski (kpa).