diff -r 23675bc2a768 -r 233afb8cdae2 text/ncat.tex --- 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"?}