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Results tagged with mg.metric-geometry
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user 70925
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
3
votes
0
answers
47
views
Measure of set of vectors whose outer product are bounded
Let consider the canonical Euclidean space $E = \mathbb{R}^n$, endowed with the Lebesgue measure $\mu$.
Define the map $v_k: E^k \rightarrow \mathbb{R}$ that
sends a $k$-uple $x_1,\cdots, x_k$ of vec …
- 313
1
vote
0
answers
60
views
Compatibility of the Hausdorff measure with short exact sequences in normed spaces
Let $(E,\|.\|)$ be a finite dimensional normed space and take $F\subset E$ a
subpace, so that we have the canonical short exact sequence
$0\rightarrow F\rightarrow^\iota E\rightarrow^\pi E/F\rightar …
- 313