1
vote
Accepted
How to find the size of an ϵ-net of a vector space?
Since $\mathcal{W}_{L} \subset \mathcal{W}$ and $\mathrm{diam}(\mathcal{W}) \leq W$, then $\mathcal{W}_{L}$ is contained in a ball of radius $W$. Without loss of generality, let's assume this ball is ...
- 2,908
1
vote
Accepted
Is the surface of a 3d cube homeomorphic to the 2-sphere
I think the main issue here is what exactly you mean by the cube.
The cube, as a subset of $\mathbb{R}^3$ with the subspace topology, is a topological space. The sphere, also with the subspace ...
- 1,061
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