query: Why not n-tuples instead of functions for cartesian product of infinite indexed family of sets?
positive_passages.docid: 155207
positive_passages.text: Confusion regarding one formulation of the Axiom of Choice.
negative_passages.docid: 55840
negative_passages.text: Number of functions from n-element set to {1, 2, …, m}
negative_passages.docid: 139826
negative_passages.text: arbitrary large finite sums of an uncountable set.
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: 101095
negative_passages.text: Constructing an example s.t. $\operatorname{Hom}_R(M,N)$ is not finitely generated
negative_passages.docid: 65549
negative_passages.text: What is the cartesian product of an empty set of sets?
negative_passages.docid: 102383
negative_passages.text: Associativity of Cartesian Product
negative_passages.docid: 47639
negative_passages.text: Uncountable Cartesian product of closed interval
negative_passages.docid: 129205
negative_passages.text: A question about uncountable, dense sets in R
negative_passages.docid: 90816
negative_passages.text: Why does the product topology allow proper subsets for only finitely many elements?
negative_passages.docid: 148507
negative_passages.text: Why an open set in $R^n$ might not be written as countable union of disjoint open intervals?
negative_passages.docid: 83842
negative_passages.text: Alternate proofs (other than diagonalization and topological nested sets) for uncountability of the reals?
negative_passages.docid: 1058
negative_passages.text: Get the cartesian product of a series of lists?
negative_passages.docid: 151308
negative_passages.text: Is it possible to turn infinite sums into infinite products?
negative_passages.docid: 40937
negative_passages.text: Is the set of partial order relations over $ \mathbb{N}$ countable?
negative_passages.docid: 134081
negative_passages.text: What is the Cartesian product of $n$ polygons?
negative_passages.docid: 89167
negative_passages.text: Cardinality of equivalence relations in $\mathbb{N}$