Prove that $SL_n(C)$ is path connected. We need a continuous path joining any two points in $SL_n(C).$ Let $A,B\in SL_n(C)$ be any two points. Then can anyone give a path define $\gamma:[0,1]\to SL_n(C)$ such that $\gamma(0)=A, \gamma(1)=B.$
2026-05-04 13:31:50.1777901510
Path connectedness of $SL_n(C)$
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