Date: Sat, 16 Jan 1999 17:54:36 -0500 (EST)
From: Tony Elmendorf <aelmendo@math.purdue.edu>
Subject: degenerate basepoints

Dear Colleagues:

Let X and Y be based spaces which are based homotopy equivalent, and suppose
X has a nondegenerate basepoint.  Prove or give a counterexample: Y must also
have a nondegenerate basepoint.  (I know some smart person out there knows
the answer. . .)

Tony Elmendorf