List questions from separation-axioms | MathQA

Separation axioms from a product to a particular space

Published on 23 Feb 2026 - 10:18

Prove that $(X,\tau_1\cap\tau_2)$ is also a $T_1$-space, whenever $\tau_1$ and $\tau_2$ are $T_1$.

Published on 25 Nov 2022 - 11:42

A type of $T_2$ topological space such that for every point there's a $T_3$ subspace then the whole space is $T_3$

Published on 28 Mar 2026 - 15:46

What is this separation property of locales called

Published on 23 Feb 2026 - 9:09

Example of closed map from $T_2$-space onto non-$T_2$ quotient?

Published on 26 Mar 2026 - 7:59

Is a fully normal space even normal?

Published on 06 Dec 2022 - 12:20

Prove that if $Y$ is hausdorff then $Y^X$ is it too when it is equipped with open-compact topology.

Published on 25 Dec 2022 - 12:07

Separating countable sets and Urysohn spaces

Published on 12 Jan 2023 - 14:17

$X_{\alpha}$ is normal when $\prod{X_{\alpha}}$ is normal

Published on 18 Jan 2023 - 17:23

How to show that the space $Y$ obtained by identifying points on the same straight line through origin in $R^{n+1}-\{0\}$ is Hausdorff?

Published on 28 Jan 2023 - 6:34