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Perimeter decreases under intersection with half spaces

The main thing i need to prove is the following assertion: Let $E\subset R^N$ be a set of finite perimeter and $H=\{x\in R^N : x\cdot e < t \}$ for $t\in R$ and $e\in S^{N-1}$. Then prove that $$ \t …
A. Ninno's user avatar