From: Jim Lin
Date: Thu, 15 Mar 2007 10:15:11 -0700
Don- Here is a question for the list. thanks, Jim Lin
Let p be an odd prime. Given a finite H-space X, it is known that all
even degree primitives of the mod p homology have height p. Further, if
X is homotopy associative, all the odd degree homology primitives occur as
either odd degree algebra generators or commutators with the even degree
primitives.
My question is what is known about the mod p homology ring of nonfinite
homotopy associative H-spaces? In particular, consider all the even
homology primitives of height p in the mod p homology of a nonfinite
H-space. Does anyone know examples of such spaces where there are
commutators of the even degree primitives of height p with other odd
degree primitives?