Construct a compact set of real numbers whose limit points form a countably infinite set.
76918
Construct a compact set of real numbers whose limit points form a countable set.
42095
Existence in ZF of a set with countable power set
53593
Limits of sequences of sets
100476
Why does a Hausdorff but not countably compact space have an infinite closed discrete subset?
147213
Prove that finite unions of compact sets are compact
97064
Dense set in an infinite cofinite space
146756
Convergence at infinitely many points in a compact set and convergence in the whole region
35692
The set of all finite subsets of the natural numbers is countable
106957
Compact sets are closed?
2882
Limit points of the set $\{\frac {\varphi(n) }n : n\in \mathbb{N}\}$
41408
Which of the following sets are compact:
50846
Is a set without limit points necessarily closed?
42698
Set of limit points of a subset of a Hausdorff space is closed.
26563
Help completing a proof regarding an infinite family of nested closed subsets in a compact metric space
9021
An infinite subset of a countable set is countable
146560
Is there any uncountably infinite set that does not generate the reals?
112910
Is the set of real numbers really uncountably infinite?