Prove that a finite set has exactly one Hausdorff topology
46408
Show that the Hausdorff topology is unique in a finite set $X$
41661
Show that the set of all finite subsets of $\mathbb{N}$ is countable.
70049
Irreducible topological spaces and irreducible Hausdorff space
93389
Uncountable sets of Hausdorff dimension zero
108864
Showing that two topologies give rise to the same topology
122663
Proving $T$ and $U$ are equal if I know $(X,T)$ and $(X,U)$ are hausdorff and compact
103769
The Cartesian product of a finite number of countable sets is countable
33370
Show that the one point compactification of $\mathbb{Q}$ is not Hausdorff
104234
What is the Hausdorff dimension of the set of irrationals on $\mathbb R^1$
128437
How to prove that a finite set is countable
149980
Are there any countable Hausdorff connected spaces?
148403
Compact space and Hausdorff space
82009
Prove that every totally ordered set has a well-ordered cofinal subset
80716
How to show that topological groups are automatically Hausdorff?
152465
Find the intersection of all $T_2$ topologies on an infinite set $X$
36237
Closed set mapped to itself in a compact Hausdorff space
83166
Homeomorphism(topological spaces) version of Cantor–Bernstein–Schroeder theorem