INFINITE LOOP-SPACES WITH ODD TORSION-FREE HOMOLOGY

It is shown that an infinite loop space with no odd torsion in its int egral homology also has no odd torsion in its homotopy. Combined with known results of Steve Wilson, this gives;a complete classification; a ll such spaces are products of the Wilson spaces, which are the buildi ng blocks of the spaces in the omega spectrum for BP. (C) 1997 Elsevie r Science Ltd. All rights reserved.