Date: Mon, 18 Jan 1999 10:37:33 -0600 (CST)
From: Brayton Gray <brayton@math.nwu.edu>
Subject: Base point questions

While base points seem to be in the news, let me ask a question that has
long bothered me, and severely cramped the generality of one of the
theorems in my 1975 textbook: Can X be so badly pointed that S^n ^ X is
not simply connected for any n? This informs on the question as to whether
the reduced ordinary homology of a space, defined by the Eilenberg MacLane
spectrum, is positively graded(as it is for CW complexes).

Brayton Gray