Prove that $\mathbb{R}$ is homeomorphic to $(0,1)$
6118
Homeomorphism of the real line-Topology
47096
translation invariant of integral on $\mathbb{R}$
13993
Can we prove $ℝ^n ∖ \{\text{straight line}\}$ and $ℝ^n ∖ \text{\{an axis\}}$ homeomorphic by proving their complements homeomorphic?
27629
How to prove that $S^{2n+1}/S^1$ is homeomorphic to $\mathbb CP^n$ under a given identification
2575
Showing that $\mathbb{R}$ is connected
107076
Prove $S^1$ is not homeomorphic to $S^2$ using connectedness
81264
Is $[0, 1) \times (0, 1)$ homeomorphic to $(0, 1) × (0, 1)$?
124562
$f:\mathbb{R}^n \to \mathbb{R}$ has expansion $\sum_i g_i(x)x^i$
132311
T$\mathbb{S}^{n} \times \mathbb{R}$ is diffeomorphic to $\mathbb{S}^{n}\times \mathbb{R}^{n+1}$
148813
Prove: $f: \mathbb{R} \rightarrow \mathbb{R}$ st for every $x \in \mathbb{R}$ there exists $n$ st $f^{(n)}(x) = 0$, f is a polynomial.
92639
Prove that the family of open sets in $\mathbb{R}$ has cardinality equal to $2^{\aleph_0}$
57816
$(S^1 \times [0,1])/\sim$ homeomorphic to unit disk $ D^2$
13162
Prove $\alpha \in R[[x]]$ is a unit iff $a_0 \in R$ is a unit
88981
Explicit Homeomorphism from $\mathbb{R}^2$ to open disk
114813
Proof: in $\mathbb{R}$, $((0,1),|\cdot|)$ is not compact.
113915
A star shaped open set in $\mathbb{R}^n$ is diffeomorphic to $\mathbb{R}^n$
27757
$\mathbb{R}\to\mathbb{R}$ Diffeomorphism with special property