Prove there exists a countably infinite subset $A$ of $P(\mathbb{N})$ that satisfies given conditions
5141
Help finding this set
151295
Proving $|S \times \mathbb{N}|=|S|$ when $S$ is an infinite set
16413
Proving existence of surjective $f:\mathbb{N} \rightarrow A$ implies $A$ is at most countable.
66301
The cardinality of the set of countably infinite subsets of an infinite set
67295
Please check my proof for $N$ is infinite
36281
A set is infinite iff it is equivalent to a proper subset of itself
147013
Subset of a finite set is finite
6523
Prove that the space has a countable dense subset
133886
Existence of increasing sequence $\{x_n\}\subset S$ with $\lim_{n\to\infty}x_n=\sup S$
80180
Discrete and compact subset must be finite
68994
Countable closed sets
92571
Sets with no asymptotical density over $\mathbb N$
60678
Does 'A countable infinite Cartesian product of countable sets is not necessarily countable' violate induction principle?
138768
Showing that the family of Borel sets is countably generated
155168
Is the collection of finite subsets of $\mathbb{Z}$ countable?
145428
Set $A$ is countably infinite if and only if there exists a bijection $f: \mathbb{N} \rightarrow A$
94413
Proving Dedekind finite implies finite assuming countable choice