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Results tagged with mg.metric-geometry
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user 24309
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
7
votes
Definition of area
To be honest, I'm no sure if this consrtuction matches the criterion of non-boringness, but it is rather short (I promise you all this takes less than 40 pages ;) ) and works in every dimension. It is …
- 5,428
3
votes
Tameness in $\mathbb{R}^{n^2}$ of the subset consisting of matrices of positive determinant
The proposed fact is true, this is how I'd prove it.
The set $M_n(\mathbb R)\setminus\{0\}$ retracts on the unit sphere $S$ by linear rescaling $M\mapsto \frac{M}{||M||}$. Let $\hat C$ be the image o …
- 5,428