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Alba Larraya Sancho 2025-07-24 18:27:13 +02:00
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generaldegree.tex
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@ -72,7 +72,13 @@ We can construct $r$ in two steps:
r:&M_1 & \longrightarrow & M_1\cap\RR^3&\longrightarrow&S_1 \\ r:&M_1 & \longrightarrow & M_1\cap\RR^3&\longrightarrow&S_1 \\
\end{array} \end{array}
\end{equation*} \end{equation*}
Let $r_1:M_1 \longrightarrow M_1\cap\RR^3$ and $r_2:M_1\cap\RR^3\longrightarrow S_1$ Let $r_1:M_1 \longrightarrow M_1\cap\RR^3$ and $r_2:M_1\cap\RR^3\longrightarrow S_1$. Then $r_1$ is given by:
\begin{equation}
\begin{array}{ccc}
r_1: M_1\times I & \longrightarrow & M_1\cap\RR^3 \\
(x_r+ix_i,y_r+iy_i,z_r+iz_i, t) & \longrightarrow & (x_r+(1-t)ix_i,y_r+(1-t)iy_i,z_r+(1-t)iz_i) \\
\end{array}
\end{equation}
\end{proof} \end{proof}
\end{document} \end{document}