Subject: Re: response to Wilkerson
Date: Thu, 28 Jan 1999 10:52:11 -0500
From: Clarence Wilkerson <wilker@math.purdue.edu>


Sorry. I guess my interpretation of Greg's question was more
in the spirit of "If I know interesting geometrical or algebraic
data about a topological space X, does it help me compute
the homotopy groups of X? "

And my reply was meant to be " After applying all the geometric
or algebraic insights into the problem, you're lucky if you've
been able to reduce it to a question of the homotopy groups
of spheres. "

As for \pi_453(S^127) itself, I'll bow to the real experts, but
I'd be surprised if it's known ( say, its 2 torsion ?) or if there is
a computer program that could attack it in a reasonable amount of time.
Bob B. ? Don D. ?  Volunteers?

Clarence