diff -r 42ca1dee3441 -r 0387384c9acd text/comparing_defs.tex --- a/text/comparing_defs.tex Fri Oct 16 23:45:27 2009 +0000 +++ b/text/comparing_defs.tex Sun Oct 18 23:54:43 2009 +0000 @@ -97,6 +97,8 @@ Each approach has advantages and disadvantages. For better or worse, we choose bigons here.} +\nn{maybe we should do both rectangles and bigons?} + Define the $k$-morphisms $C^k$ of $C$ to be $\cC(B^k)_E$, where $B^k$ denotes the standard $k$-ball, which we also think of as the standard bihedron. Since we are thinking of $B^k$ as a bihedron, we have a standard decomposition of the $\bd B^k$