Is totally disconnected space, Hausdorff?
131890
Totally disconnected space that is not $T_2$
133938
Connectedness of the Hausdorff distance.
65034
Are continuous self-bijections of connected spaces homeomorphisms?
100560
$X$ compact Hausdorff space, characterize the maximal ideals of $C(X)$
115851
Why is this quotient space not Hausdorff?
80716
How to show that topological groups are automatically Hausdorff?
157565
Is every dense subspace of a separable space separable?
77563
Homeomorphism between spaces equipped with cofinite topologies
132095
Motivation for the term "separable" in topology
118851
$X$ be a Hausdorff topological space , let $f:X \to X$ be a continuous map such that $f\circ f=f$ , then is $f(X)$ is closed in $X$ ?
116069
Is every metric space a subspace of some connected metric space?
128934
Every infinite Hausdorff space has an infinite discrete subspace
152141
Does this fractal have a Hausdorff dimension of 1?
134601
whether they are complete metric space
128481
Can two different topological spaces cover each other?
81873
Is $(X,\mathcal T)$ necessarily an indiscrete space?
110744
How to prove that a compact set in a Hausdorff topological space is closed?