# HG changeset patch # User Kevin Walker # Date 1305346600 25200 # Node ID d450abe6decb36bd4ddc3fbc576820c3cf174b31 # Parent d8ae97449506d8d2a8307d23e149d19c92e537cc minor diff -r d8ae97449506 -r d450abe6decb blob to-do --- a/blob to-do Fri May 13 21:01:03 2011 -0700 +++ b/blob to-do Fri May 13 21:16:40 2011 -0700 @@ -38,9 +38,9 @@ colimit subsection: -* Labeling of the k-1 skeleton agreeing on the k-2 skeleton is awfully vague. +* Boundary of \cl; not so easy to see! -* Boundary of \cl; not so easy to see! +* new material in colimit section needs a proof-read modules: @@ -53,7 +53,7 @@ * SCOTT: typo in delfig3a -- upper g should be g^{-1} -* SCOTT: make sure acknowledge list doesn't omit anyone from blob seminar who should be included (I think I have all the speakers; does anyone other that the speakers rate a mention?) +* SCOTT: make sure acknowledge list doesn't omit anyone from blob seminar who should be included (I think I have all the speakers; does anyone other than the speakers rate a mention?) * review colors in figures diff -r d8ae97449506 -r d450abe6decb text/ncat.tex --- a/text/ncat.tex Fri May 13 21:01:03 2011 -0700 +++ b/text/ncat.tex Fri May 13 21:16:40 2011 -0700 @@ -1067,6 +1067,7 @@ Inductively, we may assume that we have already defined the colimit $\cl\cC(M)$ for $k{-}1$-manifolds $M$. (To start the induction, we define $\cl\cC(M)$, where $M = \du_a P_a$ is a 0-manifold and each $P_a$ is a 0-ball, to be $\prod_a \cC(P_a)$.) +We also assume, inductively, that we have gluing and restriction maps for colimits of $k{-}1$-manifolds. Let $\du_a X_a = M_0\to\cdots\to M_m = W$ be a ball decomposition compatible with $x$. Let $\bd M_i = N_i \cup Y_i \cup Y'_i$, where $Y_i$ and $Y'_i$ are glued together to produce $M_{i+1}$. @@ -1099,8 +1100,6 @@ If $x$ is a refinement of $y$, the map $\psi_{\cC;W}(x) \to \psi_{\cC;W}(y)$ is given by the composition maps of $\cC$. -\nn{...} - \nn{to do: define splittability and restrictions for colimits} \noop{ %%%%%%%%%%%%%%%%%%%%%%%