Is the closed interval $[-\dfrac{\pi}{2}, \dfrac{\pi}{2}]$ homeomorphic to $\mathbb{R}$?
86537
Prove that an open interval and a closed interval are not homeomorphic
88155
Show that $[0, 1)\times[0, 1)$ is homeomorphic to $[0, 1]\times[0, 1)$ but not to $[0, 1]\times[0, 1]$.
115376
Is $(-\infty,3]\cap(0,1)^c\cap[-1,\infty)$ closed? Open? What are interior points?
2348
Show that the sphere, S, and $\mathbb{R}^2$ is not homeomorphic
99884
Are $\mathbb{Q}_p$ and $\mathbb{Q}_q$ homeomorphic?
27757
$\mathbb{R}\to\mathbb{R}$ Diffeomorphism with special property
91736
Explicit homeomorphism between open and closed rational intervals?
128301
Homeomorphism from square to unit circle
73927
Is $\mathbb{R}$ a subset of $\mathbb{R}^2$?
143831
Showing $\mathbb{Q}$ is homeomorphic to $\mathbb{Q}^2$
66293
$der(\{x\})$ is closed and $x\in der(der(A))$
44559
Finding a homeomorphism $\mathbb{R} \times S^1 \to \mathbb{R}^2 \setminus \{(0,0)\}$
30411
The closure of the irrational numbers on $\mathbb{R}$
11405
If a nonempty set of real numbers is open and closed, is it $\mathbb{R}$? Why/Why not?
124535
continuous function from $[\pi,2\pi]\to \mathbb{R}^2$
45432
Showing that $f:(0,2\pi]\to S^1$ is not a homeomorphism
109610
Is $\mathbb{R}[X]/(P)$ isomorphic to $\mathbb C$ for every irreducible polynomial $P$ of degree $2?$