From: "Jianzhong Pan" <purduepjz@hotmail.com>
Subject: co-H-space problem
Date: Thu, 23 Mar 2000 11:54:38 CST

Here are two problems in homotopy theory.
1.Let $XbX$ be the space of paths in $X\timesX$ beginning at
$X \bigvee X$ and ending at base point.
If a map $f$ is n-connected, does it follows that
$fbf$ is (2n+1)-connected.
2. Another related question is :
Can the maps and spaces in the homology decomposition of
a co-H-map be choosen to be co-H-maps and co-H-spaces?
Thanks in advance for any useful information!
Best wishes
Pan Jianzhong

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