Disjoint compact subsets of Haurdorff space has a separation
11383
Disjoint compact sets in a Hausdorff space can be separated
127575
Prove that Open Sets in $\mathbb{R}$ are The Disjoint Union of Open Intervals Without the Axioms of Choice
86782
A $T_4$ space satisfying that 'every continuous map from it to a Hausdorff space is a closed map' is compact.
149980
Are there any countable Hausdorff connected spaces?
144731
Disjoint closed sets in a second countable zero-dimensional space can be separated by a clopen set
66180
Homomorphism between compact Hausdorff spaces.
42698
Set of limit points of a subset of a Hausdorff space is closed.
147213
Prove that finite unions of compact sets are compact
95234
Quasi-components in compact space
78082
Dense subset of two Banach spaces also dense in the intersection
153573
Counter Example for the union of any number of compact sets is compact in T2-spaces
116542
Which of the following sets are compact in $\mathbb{M}_n(\mathbb{R})$[NBHM_PhD Screening Test-2013, Topology]
49039
Sets with Hausdorff-Measure 0
17733
$X$ second countable locally compact Hausdorff implies $C(X)$ separable?
146664
The union of two linearly independent subsets
100121
Assume that $(\text{X}, T)$ is compact and Hausdorff. Prove that a comparable but different topological space $(\text{X},T')$ is not.
123090
How to show that disjoint closed sets have disjoint open supersets?