When are quotients of the Cantor set Hausdorff?
14282
$X/{\sim}$ is Hausdorff if and only if $\sim$ is closed in $X \times X$
4467
Proving Cantor's theorem
149980
Are there any countable Hausdorff connected spaces?
154240
Inverse of Heine–Cantor theorem
79779
How big can a separable Hausdorff space be?
57732
Rings of fractions and homomorphisms
82814
Homework question on whether two quotient spaces are homeomorphic
122663
Proving $T$ and $U$ are equal if I know $(X,T)$ and $(X,U)$ are hausdorff and compact
143043
When is a local homeomorphism a covering map?
111907
Prove that Cantor function is Hölder continuous
146062
A "Cantor-Schroder-Bernstein" theorem for partially-ordered-sets
26794
Metrizability of Hausdorff continuous image of compact metric space
138768
Showing that the family of Borel sets is countably generated
134104
Is there a Cantor-Schroder-Bernstein statement about surjective maps?
83166
Homeomorphism(topological spaces) version of Cantor–Bernstein–Schroeder theorem
133086
When Cantor's Intersection theorem won't work with closed sets
111141
Why is every discrete subgroup of a Hausdorff group closed?