Prove that the unit disk is homeomorphic to $\mathbb{R}^2$
88981
Explicit Homeomorphism from $\mathbb{R}^2$ to open disk
31002
Proving that the unit ball in $\ell^2(\mathbb{N})$ is non-compact
126463
Can open sets and closed sets of $\mathbb{R}^n$ be homeomorphic?
22464
Which of the following subsets of   $\mathbb{R}^2$ are compact
117151
Conformal automorphism of unit disk that interchanges two given points
118049
Show that $\mathbb{R}^{\mathbb{R}} = U_{e} \oplus U_{o}$
48740
What is the homeomorphism between a disk and an ellipse?
131082
Proof that $\mathbb R/[0,1]$ and $\mathbb R$ are homeomorphic
64748
analytic in open unit disk,corresponding to a bounded sequence and a bounded functional sequence
124535
continuous function from $[\pi,2\pi]\to \mathbb{R}^2$
84189
Is $\mathbb{C}$ equal to $\mathbb{R}^2$?
36700
Quotient space of closed unit ball and the unit 2-sphere $S^2$
84301
Showing that some Function on the Unit Disc is injective
82458
Homeomorphism between the unit disc and the unit square
2348
Show that the sphere, S, and $\mathbb{R}^2$ is not homeomorphic
70576
Elementary proof that $\mathbb{R}^n$ is not homeomorphic to $\mathbb{R}^m$
124688
Question about a metric on $\mathbb{R}^2$