Subject: Spin(7) bundles over S^15
Date: Sun, 7 Oct 2001 20:39:00 -0400 (EDT)
From: Owen Dearricott <dearrico@ridge.math.sunysb.edu>
To: <dmd1@lehigh.edu>

Dear Toplist,

In reference to

Harrison, Stasheff; Families of H-spaces; QJM; 22 (1970); pp 347-51

and

H-spaces Neuchatel (Suisse) Aout 1970; Lecture Notes in Math. Vol 196 p. 3
item VI.

Can anyone tell me whether principal Spin(7) bundles over S^15 whose total
spaces are H-spaces have been completely determined?
Whether the homotopy associative ones have been identified?
Whether there is more than one homotopy Spin(9) among the total spaces of
principal Spin(7) bundles over S^15?

Best regards
Owen Dearricott