Subject: Topology list question
From: 0002319s <[email-masked]>
To: Don Davis <[email-masked]>
Date: Fri, 20 Aug 2004 11:04:47 +0100

Dear Don,

Here is a question for the topology list:

Recall that the 3-dimensional permutahedron is the convex hull of the 24 
permutations of the vector (1,2,3,4). How can I prove that there is no regular 
CW-decomposition of the 3-sphere in which each 3-cell is a permutahedron and 
each vertex touches at least four edges?

Graham