topology-continuous-mapping.tex 1.3 KB

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  1. \tikzset{
  2. point/.style={
  3. thick,
  4. draw=gray,
  5. cross out,
  6. inner sep=0pt,
  7. minimum width=4pt,
  8. minimum height=4pt,
  9. },
  10. }
  11. \begin{tikzpicture}
  12. \draw[->] (-0.5,0) -- (1.5,0) node [below] {$\mathbb{R}$};
  13. \foreach \x in {0,...,1}
  14. \draw (\x,0.1) -- (\x,-0.1) node [below] {\x};
  15. \draw[thick,red] (0.07,0.1) -- (0,0.1) -- (0,-0.1) -- (0.07,-0.1) node [below] {};
  16. \draw[thick,red] plot [smooth] coordinates{(0.47,0.1) (0.5,0) (0.47,-0.1)};
  17. \draw[thick,red] (0,0) -- (0.5,0);
  18. \draw[dotted,red] (0,-0.03) -- (0.5,-0.03);
  19. \begin{scope}[shift={(4,0)}]
  20. \draw[thick] (0cm,0cm) circle(1cm);
  21. \draw[thick, red] ([shift={(180:1cm)}]-0.0,0) arc (180:0:1cm);
  22. \draw[red, dotted] ([shift={(180:0.97cm)}]-0.0,0) arc (180:0:0.97cm);
  23. \draw (0:1cm) node[point, label=right:{$0$}] {};
  24. \end{scope}
  25. \coordinate (circleUp) at (2.6, 0.1);
  26. \coordinate (circleDown) at (2.6,-0.1);
  27. \coordinate (numberlineUp) at (1.7, 0.1);
  28. \coordinate (numberlineDown) at (1.7,-0.1);
  29. \path[->] (numberlineUp) edge [bend left] node[label=$f$] {} (circleUp);
  30. \path[<-] (numberlineDown) edge [bend right] node[label=below:$g$] {} (circleDown);
  31. \end{tikzpicture}