1 vote
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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 ...
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  • 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 ...
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  • 1,061

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