added image with mapping

documents/GeoTopo/Arbeitszeit.txt

@@ -5,4 +5,4 @@ Datum      | Uhrzeit
 ---------------------------------------------------------------------
 03.12.2013 | 11:00 - 12:00, 13:10 - 15:00
 05.12.2013 | 15:50 - 17:00
-12.12.2013 | 12:00 - 13:40, 16:23 - 17:25
+12.12.2013 | 12:00 - 13:40, 16:23 - 18:22

documents/GeoTopo/Kapitel3.tex

@@ -477,7 +477,7 @@ Für einen Weg $\gamma$ sei $[\gamma]$ seine \textbf{Homotopieklasse}\xindex{Hom
         \item 
             \begin{figure}
                 \centering
-                \input{figures/todo.tex}
+                \input{figures/topology-r-spiral-covering-s.tex}
                 \caption{$\mdr \rightarrow S^1$, $t \mapsto (\cos 2 \pi t, \sin 2 \pi t)$}
                 \label{fig:ueberlappung-r1-spirale-s1}
             \end{figure}

documents/GeoTopo/figures/topology-r-spiral-covering-s.tex

@@ -0,0 +1,57 @@
+\begin{tikzpicture}
+\draw[->, thick] (7,5) -- (7, 2) node [midway, right] {$p$};
+\node at (1,5.5) {$\mathbb{R}$} ;
+\node at (6.4,0.7) {$\color{blue} S^1$};
+\node at (4.9,1.1){$x$};
+\begin{axis}[
+ view={-30}{-45},
+ axis lines=middle,
+ zmax=60,
+ height=8cm,
+ xtick=\empty,
+ ytick=\empty,
+ ztick=\empty,
+ enlarge y limits=true,
+ enlarge x limits=true,
+]
+
+\addplot3+[->,ytick=\empty,yticklabel=\empty,
+  mark=none,
+  thick,
+  black,
+  domain=0:14.8*pi,
+  samples=400,
+  samples y=0,
+]
+({sin(deg(x))},{cos(deg(x)},{x+15});
+\addplot3+[ytick=\empty,yticklabel=\empty,
+  mark=none,
+  thick,
+  dotted,
+  black,
+  domain=-1:0,
+  samples=100,
+  samples y=0,
+]
+({sin(deg(x))},{cos(deg(x)},{x+15});
+
+\addplot3+[,ytick=\empty,yticklabel=\empty,
+  mark=none,
+  thick,
+  blue,
+  domain=0:14.7*pi,
+  samples=400,
+  samples y=0,
+]
+({sin(deg(x))},{cos(deg(x)},{0});
+
+%%%%%%%%%%%%% Point
+\addplot3+[
+  mark options={color=black},
+  mark=*
+] 
+coordinates {({sin(deg(45)},{cos(deg(45))},0)};
+%%%%%%%%%%%%%
+
+\end{axis}
+\end{tikzpicture}