Automated merge with https://tqft.net/hg/blob/
authorKevin Walker <kevin@canyon23.net>
Tue, 28 Jun 2011 18:19:16 -0700
changeset 840 b1288cdf1690
parent 830 b9b4ae3f8351 (diff)
parent 839 1d372b9675e3 (current diff)
child 841 27e0192b4066
Automated merge with https://tqft.net/hg/blob/
blob to-do
--- a/blob to-do	Tue Jun 28 18:18:52 2011 -0700
+++ b/blob to-do	Tue Jun 28 18:19:16 2011 -0700
@@ -35,12 +35,4 @@
 
 * SCOTT will go through appendix C.2 and make it better
 
-* 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 than the speakers rate a mention?)
-
-* SCOTT: figure for example 3.1.2 (sin 1/z)
-
-* SCOTT: add vertical arrow to middle of figure 19 (decomp poset)
-
 * SCOTT: review/proof-read recent KW changes, especially colimit section and n-cat axioms
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/diagrams/definition/blocks.nb	Tue Jun 28 18:19:16 2011 -0700
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Binary file diagrams/definition/blocks.pdf has changed
Binary file diagrams/deligne/dfig3b.pdf has changed
Binary file diagrams/ncat/zz2.pdf has changed
Binary file gadgets-external.pdf has changed
--- a/text/appendixes/famodiff.tex	Tue Jun 28 18:18:52 2011 -0700
+++ b/text/appendixes/famodiff.tex	Tue Jun 28 18:19:16 2011 -0700
@@ -29,9 +29,9 @@
 \[
 	F: I \times P\times X \to T
 \]
-such that
+such that the following conditions hold.
 \begin{enumerate}
-\item $F(0, \cdot, \cdot) = f$ .
+\item $F(0, \cdot, \cdot) = f$.
 \item We can decompose $P = \cup_i D_i$ so that
 the restrictions $F(1, \cdot, \cdot) : D_i\times X\to T$ are all adapted to $\cU$.
 \item If $f$ has support $S\sub X$, then
--- a/text/blobdef.tex	Tue Jun 28 18:18:52 2011 -0700
+++ b/text/blobdef.tex	Tue Jun 28 18:19:16 2011 -0700
@@ -170,9 +170,13 @@
 Now, $\{A\}$ is a valid configuration of blobs in $A \cup B$, 
 and $\{D\}$ is a valid configuration of blobs in $C \cup D$, 
 so we must allow $\{A, D\}$ as a configuration of blobs in $[-1,1]^2 \times [0,1]$. 
-Note however that the complement is not a manifold.
+Note however that the complement is not a manifold. See Figure \ref{fig:blocks}.
 \end{example}
 
+\begin{figure}[t]\begin{equation*}
+\mathfig{.4}{definition/blocks}
+\end{equation*}\caption{The subsets $A$, $B$, $C$ and $D$ from Example \ref{sin1x-example}. The pair $\{A, D\}$ is a valid configuration of blobs, even though the complement is not a manifold.}\label{fig:blocks}\end{figure}
+
 \begin{defn}
 \label{defn:gluing-decomposition}
 A \emph{gluing decomposition} of an $n$-manifold $X$ is a sequence of manifolds 
--- a/text/ncat.tex	Tue Jun 28 18:18:52 2011 -0700
+++ b/text/ncat.tex	Tue Jun 28 18:19:16 2011 -0700
@@ -1521,12 +1521,6 @@
 $\cl{\cC}(W)$ is functorial with respect to homeomorphisms of $k$-manifolds. 
 Restricting the $k$-spheres, we have now proved Lemma \ref{lem:spheres}.
 
-It is easy to see that
-there are well-defined maps $\cl{\cC}(W)\to\cl{\cC}(\bd W)$, and that these maps
-comprise a natural transformation of functors.
-
-
-
 \begin{lem}
 \label{lem:colim-injective}
 Let $W$ be a manifold of dimension less than $n$.  Then for each