Is there a totally disconnected topological space which is not Hausdorff?
58296
Is totally disconnected space, Hausdorff?
33140
Two non-homeomorphic spaces with continuous bijective functions in both directions
88099
Not $\sigma$-compact set without axiom of choice
131637
Real projective space is Hausdorff: is this proof correct?
139176
The real line is not homeomorphic to any non-trivial product space
144383
The closure of a connected set in a topological space is connected
79213
Proof about a Topological space being arc connect
115851
Why is this quotient space not Hausdorff?
120135
Show every nonempty compact Hausdorff space is not the countable union of nowhere dense sets
81220
Space which is connected but not path-connected
108226
Are these bases for a topology?
63214
Can continuity of inverse be omitted from the definition of topological group?
123430
Can a topological manifold be non-connected and each component with different dimension?
83166
Homeomorphism(topological spaces) version of Cantor–Bernstein–Schroeder theorem
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 $X$ ?
80716
How to show that topological groups are automatically Hausdorff?
10127
Example of a sequence of closed and connected sets whose intersection is disconnected