Every compact subset of Baire Space (ω^ω) has empty interior
81351
Polish space in which the interior of each compact set is empty
26563
Help completing a proof regarding an infinite family of nested closed subsets in a compact metric space
20706
Non-existence of a Surjective Function from a Set to Its Subsets (Cantor's theorem)
127900
Interior of closure of open set in topological space
111360
Topological spaces in which every proper closed subset is compact
92005
Existence of compact/complete metric on countable set
149220
If every compact set is closed, then is the space Hausdorff?
119649
Every metrizable space with a countable dense subset has a countable basis
18596
A set $A \subset l_1$ is compact if and only if closed, bounded, and one other condition
114608
Proof concerning regular space: there exist a closed set contained in any open set containing $x$
104842
Let $X$ be uncountable. Then the set of injective functions $f\colon X \to \mathbb{R}$ has empty interior in $\mathscr{C}(X;\mathbb{R})$
91237
Every infinite set contains a countable subset
148403
Compact space and Hausdorff space
1307
Infimum and supremum of the empty set
58594
Is the empty set a subset of itself?
133152
(X,d) be a compact metric space. For every open cover, show there exists ε > 0 such that ∀𝑥 ∈ X, B(x,ε) is contained in some member of the cover.
118045
Is the Baire space $\sigma$-compact?