Subject: alg top discussion grp question From: Daniel Biss Date: Fri, 18 Nov 2005 02:59:55 -0600 (CST) I have a question for the group. (First time ever! Hooray!). Here goes: Has anyone encountered a cell decomposition of the loop space on S2 with a single cell in dimensions 0 and 1 and, for all nonnegative n, 2*(3^n) cells in dimension n+2? Less ambitiously, are there any beautiful/natural cells decompositions other than the usual Morse-theoretic one-cell-in-each-dimension one? (Bonus points if the answer still has something to do with Morse theory, by the way.) Thanks! Daniel