Distance making $(\mathbb{R} \setminus \mathbb{Z},d) $ complete and homeomorphic to $\mathbb{R}\times \mathbb{Z}$
114061
Construct such $d$ that $(\mathbb{R} \setminus \mathbb{Z}, d)$ is complete metric space
30411
The closure of the irrational numbers on $\mathbb{R}$
153204
Euclidean domain $\mathbb{Z}[\sqrt{d}]$
81264
Is $[0, 1) \times (0, 1)$ homeomorphic to $(0, 1) × (0, 1)$?
1020
Proving that $\mathbb{Z}[\sqrt{2}]$ is a Euclidean domain
26749
$\mathbb{Z}[X]/(X^2-1)$ is not isomorphic with $\mathbb{Z}\times \mathbb{Z}$
128894
About compactness and completeness of set $X = \mathbb{R}$ with the metric $d(x, y) = \frac{|x-y|}{1+|x-y|}$
95863
Describe the units in $\mathbb{Z}[\sqrt{-d}]$
115606
Proofs involving $ (A\setminus B) \cup (A \cap B)$
91878
Homeomorphism of the Disk
128301
Homeomorphism from square to unit circle
26661
Ring homomorphisms from $\mathbb{Z}_n$ to $\mathbb{Z}_m$
144072
Are the spaces $\mathbb{H}^n$ and $\overline{\mathbb{R}}^n_+$ homeomorphic?
46563
Show that the quotient space is homeomorphic to the n-disc
118299
Show that $(\mathbb{Z}[x]/(x^{n+1}))^{\times}\cong \mathbb{Z}/2\mathbb{Z}\times\Pi_{i=1}^n\mathbb{Z}$
69777
Show that, for every metric $d$, the metrics $d/(1+d)$ and $\min\{1,d\}$ are equivalent
41872
Show that $\mathbb{R}^2$ is not homeomorphic to $\mathbb{R}^2 \setminus\{(0,0)\}$