Zariski topology - normal for finite $\Bbb{F}$, not hausdorff for $\Bbb{F}=\Bbb{R}$
71173
Show that $\mathbb{A}^n$ on the Zariski Topology is not Hausdorff, but it is $T_1$
101986
Prob. 2, Sec. 20 in Munkres' TOPOLOGY, 2nd ed: The dictionary order topology on $\mathbb{R} \times \mathbb{R}$ is metrizable.
138825
The strong topology on $U(\mathcal H)$ is metrisable
96363
How to show that $\mathbb R^n$ with the $1$-norm is not isometric to $\mathbb R^n$ with the infinity norm for $n>2$?
139176
The real line is not homeomorphic to any non-trivial product space
78344
Nonconstant linear functional on a topological vector space is an open mapping
74330
$\mathbb{R}^n$ not homeomorphic to open subset of $\mathbb{R}^m$
112263
an example for $\pi$-quasinormal subgroup but is not normal
90816
Why does the product topology allow proper subsets for only finitely many elements?
14713
$X=(-\infty,0]\cup\left\{{1\over n}:n\in\mathbb N\right\}$ with subspace topology Then
70576
Elementary proof that $\mathbb{R}^n$ is not homeomorphic to $\mathbb{R}^m$
102485
Showing that a topological space is ${\rm T}_1$
90826
Constructing a subset not in $\mathcal{B}(\mathbb{R})$ explicitly
144246
Subset of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^n$
72875
"Naturally occurring" non-Hausdorff spaces?
139611
Can a normal subgroup of a finite nonabelian group be nonabelian?
126463
Can open sets and closed sets of $\mathbb{R}^n$ be homeomorphic?