query: Countability of the set of functions $J_n\to \mathbb N$
positive_passages.docid: 84936
positive_passages.text: The set of all finite sequences of members of a countable set is also countable
negative_passages.docid: 63678
negative_passages.text: Let $A$ and $B$ be countable sets. Is there any function $f$ such that a certain condition holds for an uncountable number of functions $g$?
negative_passages.docid: 89167
negative_passages.text: Cardinality of equivalence relations in $\mathbb{N}$
negative_passages.docid: 68994
negative_passages.text: Countable closed sets
negative_passages.docid: 68430
negative_passages.text: Proving the countability of algebraic numbers
negative_passages.docid: 113668
negative_passages.text: Uncountable chain of subsets of $\mathbb N$
negative_passages.docid: 41661
negative_passages.text: Show that the set of all finite subsets of $\mathbb{N}$ is countable.
negative_passages.docid: 88904
negative_passages.text: Help with a proof. Countable sets.
negative_passages.docid: 130361
negative_passages.text: Basis for a topology with a countable number of sets
negative_passages.docid: 40937
negative_passages.text: Is the set of partial order relations over $ \mathbb{N}$ countable?
negative_passages.docid: 41192
negative_passages.text: Neatest proof that set of finite subsets is countable?
negative_passages.docid: 99478
negative_passages.text: countably infinite union of countably infinite sets is countable
negative_passages.docid: 25306
negative_passages.text: A countable family of point-wise bounded functions defined on finite measurable set is actually uniformly bounded on a closed subset
negative_passages.docid: 93419
negative_passages.text: Let $\mathcal A$ be a collection of pairwise disjoint subsets of a $\sigma$-finite measure space,Show that $\mathcal A$ is at most countable.
negative_passages.docid: 44974
negative_passages.text: Infinite set and countable subsets
negative_passages.docid: 79490
negative_passages.text: Proving the set of points at which a function diverges to $\infty$ is countable
negative_passages.docid: 102113
negative_passages.text: Proof that the number of proofs is countably infinite