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Results tagged with geometric-measure-theory
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user 127879
Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.
1
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0
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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 …
- 73
4
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1
answer
364
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Every convex set is of locally finite perimeter
I need to prove that every convex subset of $\mathbb{R}^n$ is of locally finite perimeter.
$E$ is of locally finite perimeter if there exists a vector-valued Radon measure $\mu_E$ s.t. the Gauss Gre …
- 73