...
authorscott@6e1638ff-ae45-0410-89bd-df963105f760
Tue, 08 Dec 2009 01:08:53 +0000
changeset 186 748cd16881bf
parent 185 ab13e2a923f0
child 187 4067c74547bb
...
diagrams/pdf/tempkw/blah7.pdf
diagrams/pdf/tempkw/blobkdiagram.pdf
text/a_inf_blob.tex
text/article_preamble.tex
text/ncat.tex
Binary file diagrams/pdf/tempkw/blah7.pdf has changed
Binary file diagrams/pdf/tempkw/blobkdiagram.pdf has changed
--- a/text/a_inf_blob.tex	Mon Dec 07 14:58:30 2009 +0000
+++ b/text/a_inf_blob.tex	Tue Dec 08 01:08:53 2009 +0000
@@ -119,8 +119,40 @@
 (Each small triangle in Figure \ref{zzz5} can be filled with a filtration degree 2 chain.)
 
 \begin{figure}[!ht]
+%\begin{equation*}
+%\mathfig{1.0}{tempkw/zz5}
+%\end{equation*}
 \begin{equation*}
-\mathfig{1.0}{tempkw/zz5}
+\begin{tikzpicture}
+\node(M) at (0,0) {$M$};
+\foreach \angle/\label in {0/K', 45/K'L, 90/L, 135/KL, 180/K, 225/KL', 270/L', 315/K'L'} {
+	\node(\label) at (\angle:4) {$\label$};
+}
+\foreach \label in {K', L, K, L'} {
+	\node(\label M) at ($(M)!0.6!(\label)$) {$\label M$};
+	\draw[->] (\label M)--(M);
+	\draw[->] (\label M)--(\label);
+}
+\foreach \k in {K, K'} {
+	\foreach \l in {L, L'} {
+		\node(\k \l M) at (intersection cs: first line={(\k M)--(\l)}, second line={(\l M)--(\k)}) {$\k \l M$};
+		\draw[->] (\k \l M)--(M);
+		\draw[->] (\k \l M)--(\k \l );
+		\draw[->] (\k \l M)--(\k M);
+		\draw[->] (\k \l M)--(\l);
+		\draw[->] (\k \l M)--(\l M);
+		\draw[->] (\k \l M)--(\k);
+	}
+}
+\draw[->] (K'L') to[bend right=10] (K');
+\draw[->] (K'L') to[bend left=10] (L');
+\draw[->] (KL') to[bend left=10] (K);
+\draw[->] (KL') to[bend right=10] (L');
+\draw[->] (K'L) to[bend left=10] (K');
+\draw[->] (K'L) to[bend right=10] (L);
+\draw[->] (KL) to[bend right=10] (K);
+\draw[->] (KL) to[bend left=10] (L);
+\end{tikzpicture}
 \end{equation*}
 \caption{Filling in $K$-$KL$-$L$-$K'L$-$K'$-$K'L'$-$L'$-$KL'$-$K$}
 \label{zzz5}
--- a/text/article_preamble.tex	Mon Dec 07 14:58:30 2009 +0000
+++ b/text/article_preamble.tex	Tue Dec 08 01:08:53 2009 +0000
@@ -21,6 +21,13 @@
 \usepackage[dvips]{graphicx}
 \fi
 
+%must load tikz after graphicx
+\usepackage{tikz}
+\usetikzlibrary{shapes}
+\usetikzlibrary{backgrounds}
+\usetikzlibrary{decorations,decorations.pathreplacing}
+\usetikzlibrary{fit,calc}
+
 \usepackage{color}
 
 % This switches fonts to the Palatino family.
--- a/text/ncat.tex	Mon Dec 07 14:58:30 2009 +0000
+++ b/text/ncat.tex	Tue Dec 08 01:08:53 2009 +0000
@@ -153,6 +153,16 @@
 which is natural with respect to the actions of homeomorphisms.}
 
 \begin{figure}[!ht]
+$$
+\begin{tikzpicture}[every label/.style={green}]
+\node[fill=black, circle, label=below:$E$](S) at (0,0) {};
+\node[fill=black, circle, label=above:$E$](N) at (0,2) {};
+\draw (S) arc  (-90:90:1);
+\draw (N) arc  (90:270:1);
+\node[left] at (-1,1) {$B_1$};
+\node[right] at (1,1) {$B_2$};
+\end{tikzpicture}
+$$
 $$\mathfig{.4}{tempkw/blah3}$$
 \caption{Combining two balls to get a full boundary}\label{blah3}\end{figure}