Date: Fri, 20 Mar 1998 07:40:40 -0500 (EST) From: James Stasheff A combinatorial friend writes: < In joint work with Vic Reiner we need (for some arrangement bussiness) define cup products for a regular CW-complex all of whse cells are (hyper)-cubes. We already found a singular cubical theory (in Serre's work) but we could not find an actual cubical theory -- like simplicial in contrast to singular (simplicial) theory -- worked out. I am sure this has been done ! >> I dimly recall seeing something like this many years ago; any references?? ************************************************************ Until August 10, 1998, I am on leave from UNC and am at the University of Pennsylvania Jim Stasheff jds@math.upenn.edu 146 Woodland Dr Lansdale PA 19446 (215)822-6707 Jim Stasheff jds@math.unc.edu Math-UNC (919)-962-9607 Chapel Hill NC FAX:(919)-962-2568 27599-3250