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LaTeX-examples/tikz/topology-paths/topology-paths.tex

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\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{pgfplots}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
\node (a)[point,label=180:$a$] at (0,0) {};
\node (b)[point,label=0:$b$] at (3, 0) {};
\draw [rounded corners,->, thick, red] (a) .. controls (0.5,2) .. (2,1) .. controls (2,0.5) .. (a);
\draw [rounded corners,->, thick, blue] (a) .. controls (1,-1) .. (2,-0.5) .. controls (2.2,-1) .. (b);
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\node at (1,1.2) [red] {$\gamma$};
\node at (2.25,-0.6) [blue] {$\delta$};
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\end{tikzpicture}
\end{document}