\indent let $m_0$ be a closed subset of $r^n+1$ that is a smooth hypersurface except for a finite number of isolated singular points. suppose that $m_0$ is asymptotic to a regular cone near each singular point. can we flow $m_0$ by mean curvature? theorem $(n<7)$: there exists a smooth mean curvature evolution starting at $m_0$ and defined for a short time $0