Homeomorphism between $\mathbb{R}$ and $(0,1)$
1117
Is there a bijection between $(0,1)$ and $\mathbb{R}$ that preserves rationality?
48419
Difference between $\mathbb{R}$-linear and $\mathbb{C}$-linear maps
93471
Space of homeomorphisms Homeo$(S^1)$ of $S^1$ deformation retracts onto $O(2)$
20547
Homeomorphism that maps given points to given points
70266
1-1 correspondence between [0,1] and [0,1)
38257
Continuous bijection from $(0,1)$ to $[0,1]$
21599
$(0,1)$ is an open subset of $\mathbb{R}$ but not of $\mathbb{R}^2$, when we think of $\mathbb{R}$ as the x-axis in $\mathbb{R}^2$. Prove this.
118622
Local diffeomorphism from $\mathbb R^2$ onto $S^2$
100437
Classification of connected subsets of the real line (up to homeomorphism)
154837
mapping properties of $(1−z)^i$
44559
Finding a homeomorphism $\mathbb{R} \times S^1 \to \mathbb{R}^2 \setminus \{(0,0)\}$
144246
Subset of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^n$
30178
Homeomorphism $(\mathbb{CP}^1)^m/S_m \overset{\sim}{\to} \mathbb{CP}^m$?
49220
Open Sets of $\mathbb{R}^1$ and axiom of choice
12825
Bijection between $2^{\mathbb R}$ and $\mathbb{ R ^ R}$
93776
Bijective mapping between $\mathbb{R}^2$ and $\mathbb{R}$?
41872
Show that $\mathbb{R}^2$ is not homeomorphic to $\mathbb{R}^2 \setminus\{(0,0)\}$