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- documentclass{beamer}
- usecolortheme{wolverine}
- beamertemplatenavigationsymbolsempty
- usepackage{tikz}
- usetikzlibrary{matrix,arrows,positioning}begin{frame}{Conclusion}
- From a fibration we obtain a long exact sequence
- begin{center}
- begin{tikzpicture}
- matrix[matrix of nodes,ampersand replacement=&, column sep=0.5cm, row sep=0.5cm](m)
- {
- & $cdots$ & $pi_{n+1}(B)$ \
- $pi_{n}(F)$ & $pi_{n}(E)$ & $pi_{n}(B)$ \
- $pi_{n-1}(F)$ & $cdots$ & \
- };
- draw[->] (m-1-2) edge (m-1-3)
- (m-1-3) edge[out=0, in=180] (m-2-1)
- (m-2-1) edge (m-2-2)
- (m-2-2) edge (m-2-3)
- (m-2-3) edge[out=0, in=180] (m-3-1)
- (m-3-1) edge (m-3-2);
- end{tikzpicture}
- end{center}
- i.e., the image of one homomorphism is equal to the kernel of the next one.
- end{frame}
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