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z--KVJ5mX0XGKm*+?wfGr!I)3)lhmo0ec;2hi?&&uT`v2)&r}D$ikt9DV8pL|237_0HYj@PEaeYPtZ1CL0Ri>+NKuW=uhJOTq&Kr2G3SkM9M(d zG(YhEicNx8yy_=o6p0NYgppVEq6|x5zrx5c|Ff7v&Gr=c7tTL0xAbM+9lxwP)0H4& z-%Vz^6Ws$k_7{R6&=e+TDn^?u|0YVKJE{d_tiVNs3IpMz|Nq8qk)MfVKKcWn`d?Eq_67g| literal 0 HcmV?d00001 diff --git a/tikz/topology-verklebung/topology-verklebung.tex b/tikz/topology-verklebung/topology-verklebung.tex new file mode 100644 index 0000000..bbe6d99 --- /dev/null +++ b/tikz/topology-verklebung/topology-verklebung.tex @@ -0,0 +1,43 @@ +\documentclass[varwidth=true, border=2pt]{standalone} +\usepackage{tikz} +\usepackage{tqft} +\usetikzlibrary{patterns} + +\begin{document} + \begin{tikzpicture}[tqft/flow=east] + \draw (0,0) ellipse (2cm and 1cm); + \def\ringa{(-0.3,0) circle (0.5cm)} + \def\ringb{(+0.3,0) circle (0.5cm)} + + \begin{scope}[even odd rule] + \clip \ringa; + \fill[pattern color=red,pattern=north east lines] \ringb; + \end{scope} + + \begin{scope}[even odd rule,shift={(-0.7,-2)}] + \clip \ringa; + \fill[draw=red,pattern color=red,pattern=north east lines] \ringb; + \end{scope} + + \begin{scope}[even odd rule,shift={(+0.7,-2)}] + \clip \ringb; + \fill[draw=red,pattern color=red,pattern=north east lines] \ringa; + \end{scope} + \draw \ringa; + \draw \ringb; + + \node at (-1,0.3) {$U_i$}; + \node at (+1,0.3) {$U_j$}; + \node at (-1.9,-2) {$V_i$}; + \node at (+1.9,-2) {$V_j$}; + + + \path[->] (-0.35,0) edge [bend angle=10,bend right] node[label={[label distance=0.1cm]210:$\varphi_i$}] {} (-1,-1.5); + \path[->] (+0.35,0) edge [bend angle=10,bend left] node[label={[label distance=0.1cm]-30:$\varphi_j$}] {} (+1,-1.5); + + \draw (-1,-2) circle (0.5cm); + \draw (+1,-2) circle (0.5cm); + + \draw[->, red, thick] (-0.3,-2) -- (0.3,-2); + \end{tikzpicture} +\end{document}