How to prove CP^1 homeomorphic two-dimensional sphere
32765
$\mathbb{C}\mathbb{P}^1$ is homeomorphic to $S^2$
44559
Finding a homeomorphism $\mathbb{R} \times S^1 \to \mathbb{R}^2 \setminus \{(0,0)\}$
123742
Proving connectedness of the $n$-sphere
120100
Hairy Ball Theorem: homotopy from the identity to the antipodal map
27933
Show that unit circle is not homeomorphic to the real line
30178
Homeomorphism $(\mathbb{CP}^1)^m/S_m \overset{\sim}{\to} \mathbb{CP}^m$?
50731
Isometries of the sphere $\mathbb{S}^{n}$
84707
How to prove a cross is not locally homeomorphic to an euclidean space?
88981
Explicit Homeomorphism from $\mathbb{R}^2$ to open disk
92746
$\Delta \mathbf n = -2 \mathbf n$ on the Euclidean sphere
106081
The Projection to a Projective Line is Holomorphic
44194
How to show that the unit sphere is a topological manifold?
2348
Show that the sphere, S, and $\mathbb{R}^2$ is not homeomorphic
107076
Prove $S^1$ is not homeomorphic to $S^2$ using connectedness
27056
$ gl(2,\mathbb C) \cong sl(2,\mathbb C) \oplus \mathbb C $
128301
Homeomorphism from square to unit circle
57816
$(S^1 \times [0,1])/\sim$ homeomorphic to unit disk $ D^2$