diff --git a/generaldegree.tex b/generaldegree.tex index 81b667e..86b4f63 100644 --- a/generaldegree.tex +++ b/generaldegree.tex @@ -72,7 +72,13 @@ We can construct $r$ in two steps: r:&M_1 & \longrightarrow & M_1\cap\RR^3&\longrightarrow&S_1 \\ \end{array} \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{document} \ No newline at end of file