--- a/text/ncat.tex Wed Jun 22 23:09:35 2011 -0700
+++ b/text/ncat.tex Thu Jun 23 09:19:51 2011 -0700
@@ -675,8 +675,107 @@
We call $P\times \{1\}$ the base of $\vcone(P)$.
(See Figure \ref{vcone-fig}.)
\begin{figure}[t]
-$$\mathfig{.65}{tempkw/vcone}$$
-\caption{(a) $P$, (b) $P\times I$, (c) $\Cone(P)$, (d) $\vcone(P)$}\label{vcone-fig}
+\centering
+\begin{tikzpicture}
+ [kw node/.style={circle,fill=orange!70},
+ kw arrow/.style={-latex, very thick, blue!70, shorten >=.06cm, shorten <=.06cm},
+ kw label/.style={cca},
+ ]
+
+ \definecolor{cca}{rgb}{.1,.4,.3};
+
+ \node at (0,0) {
+ \begin{tikzpicture}
+ \draw
+ (0,0) node[kw node](p1){}
+ (1,.5) node[kw node](p2){}
+ (2,0) node[kw node](p3){};
+
+ \draw[kw arrow] (p1) -- (p3);
+ \draw[kw arrow] (p2) -- (p3);
+ \draw[kw arrow] (p1) -- (p2);
+
+ \draw[kw label] (1,-.6) node{(a)};
+ \end{tikzpicture}
+ };
+
+ \node at (7,0) {
+ \begin{tikzpicture}
+ \draw
+ (0,0) node[kw node](p1){}
+ ++(0,2.5) node[kw node](q1){}
+ (1,.5) node[kw node](p2){}
+ ++(0,2.5) node[kw node](q2){}
+ (2,0) node[kw node](p3){}
+ ++(0,2.5) node[kw node](q3){}
+ ;
+
+ \draw[kw arrow] (p1) -- (p3);
+ \draw[kw arrow] (p2) -- (p3);
+ \draw[kw arrow] (p1) -- (p2);
+ \draw[kw arrow] (q1) -- (q3);
+ \draw[kw arrow] (q2) -- (q3);
+ \draw[kw arrow] (q1) -- (q2);
+ \draw[kw arrow] (p1) -- (q1);
+ \draw[kw arrow] (p2) -- (q2);
+ \draw[kw arrow] (p3) -- (q3);
+
+ \draw[kw label] (1,-.6) node{(b)};
+ \end{tikzpicture}
+ };
+
+ \node at (0,-5) {
+ \begin{tikzpicture}
+ \draw
+ (0,0) node[kw node](p1){}
+ (1,.5) node[kw node](p2){}
+ ++(0,2.5) node[kw node](v){}
+ (2,0) node[kw node](p3){}
+ ;
+
+ \draw[kw arrow] (p1) -- (p3);
+ \draw[kw arrow] (p2) -- (p3);
+ \draw[kw arrow] (p1) -- (p2);
+ \draw[kw arrow] (p1) -- (v);
+ \draw[kw arrow] (p2) -- (v);
+ \draw[kw arrow] (p3) -- (v);
+
+ \draw[kw label] (1,-.6) node{(c)};
+ \end{tikzpicture}
+ };
+
+ \node at (7,-5) {
+ \begin{tikzpicture}
+ \draw
+ (0,0) node[kw node](p1){}
+ ++(-2,2.5) node[kw node](q1){}
+ (1,.5) node[kw node](p2){}
+ ++(-2,2.5) node[kw node](q2){}
+ ++(4,0) node[kw node](v){}
+ (2,0) node[kw node](p3){}
+ ++(-2,2.5) node[kw node](q3){}
+ ;
+
+ \draw[kw arrow] (p1) -- (p3);
+ \draw[kw arrow] (p2) -- (p3);
+ \draw[kw arrow] (p1) -- (p2);
+ \draw[kw arrow] (p1) -- (v);
+ \draw[kw arrow] (p2) -- (v);
+ \draw[kw arrow] (p3) -- (v);
+ \draw[kw arrow] (q1) -- (q3);
+ \draw[kw arrow] (q2) -- (q3);
+ \draw[kw arrow] (q1) -- (q2);
+ \draw[kw arrow] (p1) -- (q1);
+ \draw[kw arrow] (p2) -- (q2);
+ \draw[kw arrow] (p3) -- (q3);
+
+ \draw[kw label] (1,-.6) node{(d)};
+ \end{tikzpicture}
+ };
+
+\end{tikzpicture}
+\caption{(a) $P$, (b) $P\times I$, (c) $\Cone(P)$, (d) $\vcone(P)$}
+\label{vcone-fig}
\end{figure}
\nn{maybe call this ``splittings" instead of ``V-cones"?}