Showing $[0,1]$ is compact w.r.t to cofinite topology
66334
How is every subset of the set of reals with the finite complement topology compact?
37654
Topology: Example of a compact set but its closure not compact
136094
$G_\delta$ singletons in compact Hausdorff and first countability
92588
Showing that $(C_0([0,\infty)), \|\cdot\|_\infty)$ is complete.
116542
Which of the following sets are compact in $\mathbb{M}_n(\mathbb{R})$[NBHM_PhD Screening Test-2013, Topology]
128118
Is the cofinite topology on a countable set first countable?
141642
Closure of a certain subset in a compact topological group
78513
Show finite complement topology is, in fact, a topology
14652
Proof a $(2n-1)$-compact manifold
29582
Continuous mapping $f: [0,1]\rightarrow (0,1)$ CSIR December $2013$
156304
Prob 12, Sec 26 in Munkres' TOPOLOGY, 2nd ed: How to show that the domain of a perfect map is compact if its range is compact?
158523
Topology: Proof that a finitely generated cone is closed
7678
Show "countable complement topology" is a topology
7402
Showing a compact metric space has a countable dense subset
57868
Prove $\tau$ is cofinite on $X$ iff $(X,\tau)$ is $T_1$-space and any infinite subset of $X$ is dense in $(X, \tau)$
127173
Closed subset of compact set is compact
3708
How can I prove that compact subset iff sequentially compact in second countable topological spaces?