Subject: Re: 2 questions re htpy th
Date: Sat, 24 May 2003 08:43:04 -0400
From: Dan Christensen <jdc@uwo.ca>
To: Don Davis <dmd1@lehigh.edu>

zhang liu <zhangknot@yahoo.com> writes:

> If X and Y are topological spaces, not homotopy equivalent to
> singletons,
> such that    X wedge Y
> has the homotopy type of a wedge of spheres, does it follow that X and Y
> are
> homotopy equivalent to wedges of spheres ??

Stably, this follows from a result of T.Y. Lin, in his paper
"On Non-Connected Flat Stable Homotopy Modules", Chinese J. Math.
vol 2, no 1, pp 148-170, 1974.

I haven't looked at this recently, but recall being unsure whether it
was correct when I read it in the past.

Dan