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Martin Thoma 2013-11-04 12:32:07 +01:00
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tikz/topology-continuous-mapping/topology-continuous-mapping.tex Normal file
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\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{amsmath,amssymb}
\usepackage{pgfplots}
\usepackage{tikz}
\usepackage{tkz-fct}
\usetikzlibrary{shapes.misc}
\begin{document}
\tikzset{
point/.style={
thick,
draw=gray,
cross out,
inner sep=0pt,
minimum width=4pt,
minimum height=4pt,
},
}
\begin{tikzpicture}
\draw[->] (-0.5,0) -- (1.5,0) node [below] {$\mathbb{R}$};
\foreach \x in {0,...,1}
\draw (\x,0.1) -- (\x,-0.1) node [below] {\x};
\draw[red] (0.07,0.1) -- (0,0.1) -- (0,-0.1) -- (0.07,-0.1) node [below] {};
\draw[red] plot [smooth] coordinates{(0.47,0.1) (0.5,0) (0.47,-0.1)};
\begin{scope}[shift={(4,0)}]
\draw[thick] (0cm,0cm) circle(1cm);
\draw[thick, red] ([shift={(180:1cm)}]-0.0,0) arc (180:0:1cm);
\draw (0:1cm) node[point, label=right:{$0$}] {};
%\path node[point, blue, label={[blue,above]{$\overline{a}$}}] (posU) at (-252:1cm) {};
%\path node[label={[red,left]{$U$}}] at (30:1cm) {};
\end{scope}
\coordinate (circleUp) at (2.6, 0.1);
\coordinate (circleDown) at (2.6,-0.1);
\coordinate (numberlineUp) at (1.7, 0.1);
\coordinate (numberlineDown) at (1.7,-0.1);
\path[->] (numberlineUp) edge [bend left] node[label=$f$] {} (circleUp);
\path[<-] (numberlineDown) edge [bend right] node[label=below:$g$] {} (circleDown);
%\draw (3.7cm,0cm) node[point, blue, label={[blue,above]{$a$}}] (posA) {};
%\draw (0.7cm,0cm) node[point, blue, label={[blue,above]{$\pi^{-1}(u)$}}] {};
%\draw[dashed, blue, thick] plot [smooth] coordinates{(posU) (0.2,-0.8) (2.5,-1) (posA)};
%\draw[blue, dashed, thick] (3.7cm,0cm) arc (0:180:1.5 and 0.5);
\end{tikzpicture}
\end{document}