Wed, 17 Nov 1999 03:23:45 -0500 From: "donald kahn" 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 > 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