$\mathbb{CP}^{2}$ is homeomorphic to $ ( S^2 \times S^2)/\mathbb{Z}_2$
52517
Construction of $\mathbb{CP}^2$ from $S^2\times S^2$
70082
Show: Quotient space is homeomorphic to unit sphere
88155
Show that $[0, 1)\times[0, 1)$ is homeomorphic to $[0, 1]\times[0, 1)$ but not to $[0, 1]\times[0, 1]$.
132311
T$\mathbb{S}^{n} \times \mathbb{R}$ is diffeomorphic to $\mathbb{S}^{n}\times \mathbb{R}^{n+1}$
94579
$\mathbb{Q}[x,y]/\langle x^2+y^2-1 \rangle$ is an integral domain, and its field of fractions is isomorphic to $\mathbb Q(t)$
2348
Show that the sphere, S, and $\mathbb{R}^2$ is not homeomorphic
38378
$M= \{ A \in Mat_{2 \times 2}{\mathbb{R}}| \det(A)=1 \}$ is homeomorphic to $S^{1} \times \mathbb{R}^{2}$
13717
Homomorphisms from $S_4$ to $\mathbb Z_2$
143831
Showing $\mathbb{Q}$ is homeomorphic to $\mathbb{Q}^2$
143140
When are quotients of homeomorphic spaces homeomorphic?
154847
homomorphism from $S_3$ to $\mathbb Z/3\mathbb Z$
128301
Homeomorphism from square to unit circle
41069
Justifying $\,\Bbb{Z}[i]/\langle 2\rangle\cong \Bbb{Z}[X]/\langle X^2+1,2\rangle\cong \Bbb{F}_2[X]/\langle X^2+1\rangle$
109691
When are kernels of homomorphisms on $\mathbb{Z}[x]$ principal ideals, and what does this have to do with Gauss's lemma?
119579
$S^2 \times S^2$ is diffeomophic to $G_2(\mathbb{R}^4)$
45432
Showing that $f:(0,2\pi]\to S^1$ is not a homeomorphism
144246
Subset of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^n$