topology-kartenwechsel.tex 1.3 KB

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  1. \begin{tikzpicture}[tqft/flow=east]
  2. \draw (0,0) ellipse (2cm and 1cm);
  3. \draw (0,-2) ellipse (3cm and 0.8cm);
  4. \def\ringa{(-0.3,0) circle (0.5cm)}
  5. \def\ringb{(+0.3,0) circle (0.5cm)}
  6. \begin{scope}[even odd rule]
  7. \clip \ringa;
  8. \fill[pattern color=red,pattern=north east lines] \ringb;
  9. \end{scope}
  10. \begin{scope}[even odd rule,shift={(-0.7,-2)}]
  11. \clip \ringa;
  12. \fill[draw=red,pattern color=red,pattern=north east lines] \ringb;
  13. \end{scope}
  14. \begin{scope}[even odd rule,shift={(+0.7,-2)}]
  15. \clip \ringb;
  16. \fill[draw=red,pattern color=red,pattern=north east lines] \ringa;
  17. \end{scope}
  18. \draw \ringa;
  19. \draw \ringb;
  20. \node at (-1,0.3) {$U_i$};
  21. \node at (+1,0.3) {$U_j$};
  22. \node at (-1.9,-2) {$V_i$};
  23. \node at (+1.9,-2) {$V_j$};
  24. \node at (+2.0,0.7) {$X$};
  25. \node at (+2.4,-1.3) {$\mathbb{R}^n$};
  26. \path[->] (-0.35,0) edge [bend angle=10,bend right] node[label={[label distance=0.1cm]210:$\varphi_i$}] {} (-1,-1.5);
  27. \path[->] (+0.35,0) edge [bend angle=10,bend left] node[label={[label distance=0.1cm]-30:$\varphi_j$}] {} (+1,-1.5);
  28. \draw (-1,-2) circle (0.5cm);
  29. \draw (+1,-2) circle (0.5cm);
  30. \draw[->, red, thick] (-0.3,-2) -- (0.3,-2);
  31. \end{tikzpicture}