Are the spaces $S^1$ and $S^2$ homeomorphic?
107076
Prove $S^1$ is not homeomorphic to $S^2$ using connectedness
132311
T$\mathbb{S}^{n} \times \mathbb{R}$ is diffeomorphic to $\mathbb{S}^{n}\times \mathbb{R}^{n+1}$
34699
A continuous bijection from a compact space to a $T_2$ space is always a homeomorphism
37892
If $X$ is homeomorphic to $Y$ then is $X/{\sim}$ homeomorphic to $Y/{\sim'}$?/
65034
Are continuous self-bijections of connected spaces homeomorphisms?
18334
Equivalence between CH and existence of certain sets in $\mathbb{R}^2$
135059
Prove that the unit circle, $S^1:=\{(x,y)\in \mathbb{R}^2: x^2+y^2=1\}$, Is a one-dimensional manifold
70082
Show: Quotient space is homeomorphic to unit sphere
18034
Is there an equivalence relation of which the quotient topology is homeomorphic to codomain of a quotient map?
131082
Proof that $\mathbb R/[0,1]$ and $\mathbb R$ are homeomorphic
138653
Is $\mathbb{R}$ a subspace of $\mathbb{R}^2$?
16512
Product of $T_1$ spaces is $T_1$
136811
Orbit space of torus homeomorphic to mobius strip
26197
$B^n/S^{n-1}$ is homeomorphic to $S^n$
44559
Finding a homeomorphism $\mathbb{R} \times S^1 \to \mathbb{R}^2 \setminus \{(0,0)\}$
104881
Showing that two Banach spaces are homeomorphic when their dimensions are equal.
60485
Show that $S^1 - \lbrace (1,0)\rbrace$ is homeomorphic to the open interval $(0,1)$