minor
authorKevin Walker <kevin@canyon23.net>
Fri, 13 May 2011 21:16:40 -0700
changeset 783 d450abe6decb
parent 782 d8ae97449506
child 784 bd9538de8248
minor
blob to-do
text/ncat.tex
--- 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
--- 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{ %%%%%%%%%%%%%%%%%%%%%%%