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Results tagged with mg.metric-geometry
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user 21193
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
0
votes
0
answers
222
views
Semicontinuity of the Lebesgue measure of images of a family of functions
Let $\mu$ be the usual Lebesgue measure on $\mathbb{R}^m$. Suppose $f:\mathbb{R}^n\times\mathbb{R}\rightarrow\mathbb{R}^m$ is uniformly continuous, and let $U$ be a measurable subset of $\mathbb{R}^n$ …
- 326
3
votes
0
answers
91
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To what extent can I specify the angular defect at the vertices of a polyhedron?
Suppose $p_1,\ldots,p_n$ are points in $\mathbb{R}^3$, and suppose $\delta_1,\ldots,\delta_n$ are positive real numbers, each less than $2\pi$, whose sum is $4\pi$. Is there a polyhedron $\mathcal P$ …
- 326