--- a/text/ncat.tex Wed Nov 30 18:45:32 2011 -0800
+++ b/text/ncat.tex Fri Dec 02 21:42:38 2011 -0800
@@ -383,24 +383,24 @@
\begin{tikzpicture}[baseline=0]
\begin{scope}
\path[clip] (0,0) arc (135:45:4) arc (-45:-135:4);
-\draw[blue,line width=2pt] (0,0) arc (135:45:4) arc (-45:-135:4);
+\draw[kw-blue-a,line width=2pt] (0,0) arc (135:45:4) arc (-45:-135:4);
\foreach \x in {0, 0.5, ..., 6} {
\draw[green!50!brown] (\x,-2) -- (\x,2);
}
\end{scope}
-\draw[blue,line width=1.5pt] (0,-3) -- (5.66,-3);
+\draw[kw-blue-a,line width=1.5pt] (0,-3) -- (5.66,-3);
\draw[->,red,line width=2pt] (2.83,-1.5) -- (2.83,-2.5);
\end{tikzpicture}
\qquad \qquad
\begin{tikzpicture}[baseline=-0.15cm]
\begin{scope}
\path[clip] (0,1) arc (90:135:8 and 4) arc (-135:-90:8 and 4) -- cycle;
-\draw[blue,line width=2pt] (0,1) arc (90:135:8 and 4) arc (-135:-90:8 and 4) -- cycle;
+\draw[kw-blue-a,line width=2pt] (0,1) arc (90:135:8 and 4) arc (-135:-90:8 and 4) -- cycle;
\foreach \x in {-6, -5.5, ..., 0} {
\draw[green!50!brown] (\x,-2) -- (\x,2);
}
\end{scope}
-\draw[blue,line width=1.5pt] (-5.66,-3.15) -- (0,-3.15);
+\draw[kw-blue-a,line width=1.5pt] (-5.66,-3.15) -- (0,-3.15);
\draw[->,red,line width=2pt] (-2.83,-1.5) -- (-2.83,-2.5);
\end{tikzpicture}
$$
@@ -437,8 +437,8 @@
\begin{tikzpicture}[baseline=0]
\begin{scope}
\path[clip] (0,0) arc (135:45:4) arc (-45:-135:4);
-\draw[blue,line width=2pt] (0,0) arc (135:45:4) arc (-45:-135:4);
-\draw[blue] (0,0) -- (5.66,0);
+\draw[kw-blue-a,line width=2pt] (0,0) arc (135:45:4) arc (-45:-135:4);
+\draw[kw-blue-a] (0,0) -- (5.66,0);
\foreach \x in {0, 0.5, ..., 6} {
\draw[green!50!brown] (\x,-2) -- (\x,2);
}
@@ -448,8 +448,8 @@
\begin{tikzpicture}[baseline=0]
\begin{scope}
\path[clip] (0,-1) rectangle (4,1);
-\draw[blue,line width=2pt] (0,-1) rectangle (4,1);
-\draw[blue] (0,0) -- (5,0);
+\draw[kw-blue-a,line width=2pt] (0,-1) rectangle (4,1);
+\draw[kw-blue-a] (0,0) -- (5,0);
\foreach \x in {0, 0.5, ..., 6} {
\draw[green!50!brown] (\x,-2) -- (\x,2);
}
@@ -459,8 +459,8 @@
\begin{tikzpicture}[baseline=0]
\begin{scope}
\path[clip] (0,0) arc (135:45:4) arc (-45:-135:4);
-\draw[blue,line width=2pt] (0,0) arc (135:45:4) arc (-45:-135:4);
-\draw[blue] (2.83,3) circle (3);
+\draw[kw-blue-a,line width=2pt] (0,0) arc (135:45:4) arc (-45:-135:4);
+\draw[kw-blue-a] (2.83,3) circle (3);
\foreach \x in {0, 0.5, ..., 6} {
\draw[green!50!brown] (\x,-2) -- (\x,2);
}
@@ -471,8 +471,8 @@
\begin{tikzpicture}[baseline=0]
\begin{scope}
\path[clip] (0,-1) rectangle (4,1);
-\draw[blue,line width=2pt] (0,-1) rectangle (4,1);
-\draw[blue] (0,-1) -- (4,1);
+\draw[kw-blue-a,line width=2pt] (0,-1) rectangle (4,1);
+\draw[kw-blue-a] (0,-1) -- (4,1);
\foreach \x in {0, 0.5, ..., 6} {
\draw[green!50!brown] (\x,-2) -- (\x,2);
}
@@ -482,8 +482,8 @@
\begin{tikzpicture}[baseline=0]
\begin{scope}
\path[clip] (0,-1) rectangle (5,1);
-\draw[blue,line width=2pt] (0,-1) rectangle (5,1);
-\draw[blue] (1,-1) .. controls (2,-1) and (3,1) .. (4,1);
+\draw[kw-blue-a,line width=2pt] (0,-1) rectangle (5,1);
+\draw[kw-blue-a] (1,-1) .. controls (2,-1) and (3,1) .. (4,1);
\foreach \x in {0, 0.5, ..., 6} {
\draw[green!50!brown] (\x,-2) -- (\x,2);
}
@@ -493,8 +493,8 @@
\begin{tikzpicture}[baseline=0]
\begin{scope}
\path[clip] (0,0) arc (135:45:4) arc (-45:-135:4);
-\draw[blue,line width=2pt] (0,0) arc (135:45:4) arc (-45:-135:4);
-\draw[blue] (2.82,-5) -- (2.83,5);
+\draw[kw-blue-a,line width=2pt] (0,0) arc (135:45:4) arc (-45:-135:4);
+\draw[kw-blue-a] (2.82,-5) -- (2.83,5);
\foreach \x in {0, 0.5, ..., 6} {
\draw[green!50!brown] (\x,-2) -- (\x,2);
}
@@ -632,7 +632,7 @@
\draw (1-small) circle (\srad);
\foreach \theta in {90, 72, ..., -90} {
- \draw[blue] (1) -- ($(1)+(\rad,0)+(\theta:\srad)$);
+ \draw[kw-blue-a] (1) -- ($(1)+(\rad,0)+(\theta:\srad)$);
}
\filldraw[fill=white] (1) circle (\rad);
\foreach \n in {1,2} {
@@ -645,7 +645,7 @@
\path[clip] (2) circle (\rad);
\draw[clip] (2.east) circle (\srad);
\foreach \y in {1, 0.86, ..., -1} {
- \draw[blue] ($(2)+(-1,\y) $)-- ($(2)+(1,\y)$);
+ \draw[kw-blue-a] ($(2)+(-1,\y) $)-- ($(2)+(1,\y)$);
}
\end{scope}
\end{tikzpicture}
@@ -2493,7 +2493,7 @@
Another way to say this is that $(X, M)$ is homeomorphic to $B^{k-1}\times([-1,1], \{0\})$.
\begin{figure}[t]
-$$\tikz[baseline,line width=2pt]{\draw[blue] (-2,0)--(2,0); \fill[red] (0,0) circle (0.1);} \qquad \qquad \tikz[baseline,line width=2pt]{\draw[blue][fill=blue!30!white] (0,0) circle (2 and 1); \draw[red] (0,1)--(0,-1);}$$
+$$\tikz[baseline,line width=2pt]{\draw[kw-blue-a] (-2,0)--(2,0); \fill[red] (0,0) circle (0.1);} \qquad \qquad \tikz[baseline,line width=2pt]{\draw[kw-blue-a][fill=kw-blue-a!30!white] (0,0) circle (2 and 1); \draw[red] (0,1)--(0,-1);}$$
\caption{0-marked 1-ball and 0-marked 2-ball}
\label{feb21a}
\end{figure}
@@ -2535,13 +2535,13 @@
These restrictions are 0-morphisms $(a, b)$ of $\cA$ and $\cB$.
\begin{figure}[t] \centering
-\begin{tikzpicture}[blue,line width=2pt]
+\begin{tikzpicture}[kw-blue-a,line width=2pt]
\draw (0,1) -- (0,-1) node[below] {$X$};
\draw (2,0) -- (4,0) node[below] {$J$};
\fill[red] (3,0) circle (0.1);
-\draw[fill=blue!30!white] (6,0) node(a) {} arc (135:90:4) node(top) {} arc (90:45:4) node(b) {} arc (-45:-90:4) node(bottom) {} arc(-90:-135:4);
+\draw[fill=kw-blue-a!30!white] (6,0) node(a) {} arc (135:90:4) node(top) {} arc (90:45:4) node(b) {} arc (-45:-90:4) node(bottom) {} arc(-90:-135:4);
\draw[red] (top.center) -- (bottom.center);
\fill (a) circle (0.1) node[left] {\color{green!50!brown} $a$};
\fill (b) circle (0.1) node[right] {\color{green!50!brown} $b$};
@@ -2563,7 +2563,7 @@
\begin{figure}[t] \centering
\begin{tikzpicture}[baseline,line width = 2pt]
-\draw[blue] (0,0) -- (6,0);
+\draw[kw-blue-a] (0,0) -- (6,0);
\foreach \x/\n in {0.5/0,1.5/1,3/2,4.5/3,5.5/4} {
\path (\x,0) node[below] {\color{green!50!brown}$\cA_{\n}$};
}
@@ -2574,7 +2574,7 @@
\qquad
\qquad
\begin{tikzpicture}[baseline,line width = 2pt]
-\draw[blue] (0,0) circle (2);
+\draw[kw-blue-a] (0,0) circle (2);
\foreach \q/\n in {-45/0,90/1,180/2} {
\path (\q:2.4) node {\color{green!50!brown}$\cA_{\n}$};
}
@@ -2613,7 +2613,7 @@
\begin{figure}[t] \centering
\begin{tikzpicture}[baseline,line width = 2pt]
-\draw[blue][fill=blue!15!white] (0,0) circle (2);
+\draw[kw-blue-a][fill=kw-blue-a!15!white] (0,0) circle (2);
\fill[red] (0,0) circle (0.1);
\foreach \qm/\qa/\n in {70/-30/0, 120/95/1, -120/180/2} {
\draw[red] (0,0) -- (\qm:2);
@@ -2628,7 +2628,7 @@
\begin{figure}[t] \centering
\begin{tikzpicture}[baseline,line width = 2pt]
-\draw[blue][fill=blue!15!white] (0,0) circle (2);
+\draw[kw-blue-a][fill=kw-blue-a!15!white] (0,0) circle (2);
\fill[red] (0,0) circle (0.1);
\foreach \qm/\qa/\n in {70/-30/0, 120/95/1, -120/180/2} {
\draw[red] (0,0) -- (\qm:2);
@@ -3089,8 +3089,7 @@
\begin{figure}[t]
-\todo{Verify that the tikz figure is correct, remove the hand-drawn one.}
-$$\mathfig{.65}{tempkw/morita1}$$
+%$$\mathfig{.65}{tempkw/morita1}$$
$$
\begin{tikzpicture}
@@ -3172,7 +3171,7 @@
to decorated circles.
Figure \ref{morita-fig-2}
\begin{figure}[t]
-$$\mathfig{.55}{tempkw/morita2}$$
+%$$\mathfig{.55}{tempkw/morita2}$$
$$
\begin{tikzpicture}
\node(L) at (0,0) {\tikz{
@@ -3258,7 +3257,7 @@
they must satisfy identities corresponding to Morse cancellations on 2-manifolds.
These are illustrated in Figure \ref{morita-fig-3}.
\begin{figure}[t]
-$$\mathfig{.65}{tempkw/morita3}$$
+%$$\mathfig{.65}{tempkw/morita3}$$
$$
\begin{tikzpicture}
\node(L) at (0,0) {\tikz{