Wed, 17 Nov 1999 03:23:45 -0500
From: "donald kahn"  <dkahn@mail.isystems.net>
Subject: Re: fake quat proj sp

Responding to the message of <199911170259.VAA26408@ns5-1.CC.Lehigh.EDU>
from dmd1@lehigh.edu (DON DAVIS):
>
> Date: Tue, 16 Nov 1999 16:18:03 -0500 (EST)
> From: James Stasheff <jds@math.upenn.edu>
> To: dmd1@lehigh.edu
>
> There are 'fake' quaternionic projecitve spaces.
> Do they become equivalent to the standard one afteer  \times S^k for some
> k?
> after looping k times??
> hi, there are fake quaternionic and fAKE caley projective projective planes,
which were treated by j eells and n. kuiper. . they reflect  the fact that the
higher homotopy groups of the 4 sphere or the 8 sphere, WHICH CONTAIN AN
INFITITE CYCLIC SUMMAND, also contain a finite summand.i think the answer to the
second question is no, and  i think that they published it in paris,(IHES).nick
is deceased, but jim is alive and lives_i believe-in england, ahthough he is
retired from warrick.
i hope this is correct; it is very late here.   don kahn

don kahn, school of mathematics, u of mn, mpls, mn. 55455 phone or fax 612
625-0031,  home phone 612 378-2591.  e-mail at dkahn@isystems.net