query: Is the Cartesian Product of a finite number of infinitely countable sets countable?
positive_passages.docid: 27937
positive_passages.text: Cartesian Product of Two Countable Sets is Countable
negative_passages.docid: 19297
negative_passages.text: Is the cofinite topology on an uncountable set first countable?
negative_passages.docid: 88904
negative_passages.text: Help with a proof. Countable sets.
negative_passages.docid: 22391
negative_passages.text: Is the set of all pairs of real numbers uncountable?
negative_passages.docid: 136006
negative_passages.text: Prove that any countable cartesian product of countable sets is countable
negative_passages.docid: 156006
negative_passages.text: Cardinality of set containing all infinite subsets of $\mathbb{Q}$
negative_passages.docid: 130981
negative_passages.text: Co-countable measure on uncountable set
negative_passages.docid: 15438
negative_passages.text: do all uncountable sets have same cardinality as real numbers?
negative_passages.docid: 67451
negative_passages.text: Building a bijection from a finite union of countable sets to $\mathbb{N}$
negative_passages.docid: 122506
negative_passages.text: Relation on countable sets
negative_passages.docid: 71489
negative_passages.text: Countable product of Polish spaces
negative_passages.docid: 109054
negative_passages.text: Given an infinite set of cardinality $X$, is there a chain in $\mathcal P(X)$ of the same cardinalty of $\mathcal P(X)$?
negative_passages.docid: 149673
negative_passages.text: Cardinality of an infinite union of finite sets
negative_passages.docid: 4912
negative_passages.text: Show that an infinite set $C$ is equipotent to its cartesian product $C\times C$
negative_passages.docid: 99478
negative_passages.text: countably infinite union of countably infinite sets is countable
negative_passages.docid: 23442
negative_passages.text: Cardinality of the union of infinite and countable sets
negative_passages.docid: 117133
negative_passages.text: Is there an infinite countable $\sigma$-algebra on an uncountable set