$ (\mathbb{R}^3, \|.\|_1) $ and $ (\mathbb{R}^3, \|.\|_\infty) $ cannot be isometric
96363
How to show that $\mathbb R^n$ with the $1$-norm is not isometric to $\mathbb R^n$ with the infinity norm for $n>2$?
120623
Unit sphere in $\mathbb{R}^\infty$ is contractible?
67374
Is it true that $\mathbb{R}$ and $\mathbb{R}^2$ are isomorphic as abelian groups?
124688
Question about a metric on $\mathbb{R}^2$
25854
$\mathbb{R}^3$ \ $\mathbb{Q}^3$ is union of disjoint lines. The lines are not in an axis diretion.
114813
Proof: in $\mathbb{R}$, $((0,1),|\cdot|)$ is not compact.
136538
How can I show that a bijection between $[0,1)$ and $(0,1)$ cannot be continuous?
63453
A proof of the fact that the Fourier transform is not surjective from $\mathcal{L}^1(\mathbb{R})$ to $C_0( \mathbb{R})$
3296
Proof That $\mathbb{R} \setminus \mathbb{Q}$ Is Not an $F_{\sigma}$ Set
23851
Is there a set of lines in $\mathbb{R}^3$ such that their union is equal to the set of points with not all coordinates rational?
77323
Existence of continuous angle function $\theta:S^1\to\mathbb{R}$
141114
Question about a bijection between $\mathbb R$ and $\mathbb R \cup \{\infty\}$
93263
Can contractible subspace be ignored/collapsed when computing $\pi_n$ or $H_n$?
108044
Isomorphic extensions of $\mathbb Z_3$ by $\mathbb Z_3 \times \mathbb Z_3$ which are not equivalent
47975
Closed cone in the euclidean space $\mathbb{R}^n$
144382
Proving $\lVert x \rVert_3$ is smaller than euclidean norm
35569
Prove that $[0,1]$ isn't homeomorphic to $\mathbb{R}$