diff -r 775b5ca42bed -r b88c4c4af945 text/ncat.tex --- a/text/ncat.tex Sun May 08 09:05:53 2011 -0700 +++ b/text/ncat.tex Sun May 08 22:08:47 2011 -0700 @@ -192,7 +192,7 @@ becomes a normal product.) \end{lem} -\begin{figure}[!ht] \centering +\begin{figure}[t] \centering \begin{tikzpicture}[%every label/.style={green} ] \node[fill=black, circle, label=below:$E$, inner sep=1.5pt](S) at (0,0) {}; @@ -264,7 +264,7 @@ (For $k=n$ in the ordinary (non-$A_\infty$) case, see below.) \end{axiom} -\begin{figure}[!ht] \centering +\begin{figure}[t] \centering \begin{tikzpicture}[%every label/.style={green}, x=1.5cm,y=1.5cm] \node[fill=black, circle, label=below:$E$, inner sep=2pt](S) at (0,0) {}; @@ -285,7 +285,7 @@ any sequence of gluings (in the sense of Definition \ref{defn:gluing-decomposition}, where all the intermediate steps are also disjoint unions of balls) yields the same result. \end{axiom} -\begin{figure}[!ht] +\begin{figure}[t] $$\mathfig{.65}{ncat/strict-associativity}$$ \caption{An example of strict associativity.}\label{blah6}\end{figure} @@ -323,7 +323,7 @@ and these various $m$-fold composition maps satisfy an operad-type strict associativity condition (Figure \ref{fig:operad-composition}).} -\begin{figure}[!ht] +\begin{figure}[t] $$\mathfig{.8}{ncat/operad-composition}$$ \caption{Operad composition and associativity}\label{fig:operad-composition}\end{figure} @@ -588,7 +588,7 @@ a & \mapsto & s_{Y,J}(a \cup ((a|_Y)\times J)) . \end{eqnarray*} (See Figure \ref{glue-collar}.) -\begin{figure}[!ht] +\begin{figure}[t] \begin{equation*} \begin{tikzpicture} \def\rad{1} @@ -837,7 +837,7 @@ \end{example} -\begin{example}[The bordism $n$-category of $d$-manifolds, ordinary version] +\begin{example}[te bordism $n$-category of $d$-manifolds, ordinary version] \label{ex:bord-cat} \rm \label{ex:bordism-category} @@ -912,7 +912,7 @@ linear combinations of connected components of $T$, and the local relations are trivial. There's no way for the blob complex to magically recover all the data of $\pi^\infty_{\leq 0}(T) \iso C_* T$. -\begin{example}[The bordism $n$-category of $d$-manifolds, $A_\infty$ version] +\begin{example}[te bordism $n$-category of $d$-manifolds, $A_\infty$ version] \rm \label{ex:bordism-category-ainf} As in Example \ref{ex:bord-cat}, for $X$ a $k$-ball, $k