text/obsolete/smallblobs.tex
changeset 774 b88c4c4af945
parent 561 77a80f91e214
--- a/text/obsolete/smallblobs.tex	Sun May 08 09:05:53 2011 -0700
+++ b/text/obsolete/smallblobs.tex	Sun May 08 22:08:47 2011 -0700
@@ -117,7 +117,7 @@
 As in the $k=1$ case, the first term, corresponding to $i(b) = \eset$, makes the all balls in $\beta$ $\cV_1$-small. However, if this were the only term $s$ would not be a chain map, because we have no control over $\restrict{\phi_{\beta}}{x_0 = 0}(\bdy b)$. This necessitates the other terms, which fix the boundary at successively higher codimensions.
 
 It may be useful to look at Figure \ref{fig:erectly-a-tent-badly} to help understand the arrangement. The red, blue and orange $2$-cells there correspond to the $m=0$, $m=1$ and $m=2$ terms respectively, while the $3$-cells (only one of each type is shown) correspond to the terms in the homotopy $h$.
-\begin{figure}[!ht]
+\begin{figure}[t]
 $$\mathfig{0.5}{smallblobs/tent}$$
 \caption{``Erecting a tent badly.'' We know where we want to send a simplex, and each of the iterated boundary components. However, these do not agree, and we need to stitch the pieces together. Note that these diagrams don't exactly match the situation in the text: a $k$-simplex has $k+1$ boundary components, while a $k$-blob has $k$ boundary terms.}
 \label{fig:erectly-a-tent-badly}