Question on proving quotient space is homeomorphic to circle
39416
The space obtained by identifying the antipodal points of a circle
36700
Quotient space of closed unit ball and the unit 2-sphere $S^2$
70198
Why this two spaces do not homeomorphic?
90764
Prove that the fundamental group of the circle is non-trivial if the fundamental group of a space $X$ is non-trivial
81999
What is this quotient space?
70574
How can I prove formally that the projective plane is a Hausdorff space?
27933
Show that unit circle is not homeomorphic to the real line
36888
How to prove that the limit of an $n$-gon is a circle?
18034
Is there an equivalence relation of which the quotient topology is homeomorphic to codomain of a quotient map?
28422
What's an intuitive way of looking at quotient spaces?
93471
Space of homeomorphisms Homeo$(S^1)$ of $S^1$ deformation retracts onto $O(2)$
103055
Proving the quotient rule for limits
88155
Show that $[0, 1)\times[0, 1)$ is homeomorphic to $[0, 1]\times[0, 1)$ but not to $[0, 1]\times[0, 1]$.
14713
$X=(-\infty,0]\cup\left\{{1\over n}:n\in\mathbb N\right\}$ with subspace topology Then
131637
Real projective space is Hausdorff: is this proof correct?
126463
Can open sets and closed sets of $\mathbb{R}^n$ be homeomorphic?
32765
$\mathbb{C}\mathbb{P}^1$ is homeomorphic to $S^2$