Is Hausdorffness necessary for the classical ascoli theorem?
6088
Theorem of Arzelà-Ascoli
113534
Show that any metrizable space $X$ is Hausdorff
113790
$\overline{B_1(0)}$ is not weakly* sequentially compact in $(l^\infty)$'
152141
Does this fractal have a Hausdorff dimension of 1?
83166
Homeomorphism(topological spaces) version of Cantor–Bernstein–Schroeder theorem
92571
Sets with no asymptotical density over $\mathbb N$
83790
Why doesn't $d(x_n,x_{n+1})\rightarrow 0$ as $n\rightarrow\infty$ imply ${x_n}$ is Cauchy?
148112
Prove that a topological space equipped with a delta-complex structure is Hausdorff
65509
Several Questions on Smooth Urysohn's Lemma
118508
Is the axiom of choice needed in proving that metric spaces in which every infinite subset has a limit point are compact?
154682
G/H is Hausdorff implies H is closed (General topology, Volume 1 by N. Bourbaki)
69273
Is there a compact subset of the irrationals with positive Lebesgue measure?
115794
When is the vector space of continuous functions on a compact Hausdorff space finite dimensional?
2866
Given a countable partition of the reals, must the condensation points of some part have nonempty interior?
133085
Is $\mathbb{R}^\omega$ endowed with the box topology completely normal (or hereditarily normal)?
65180
A compact Hausdorff space that is not metrizable
60868
Interplay of Hausdorff metric and Lebesgue measure