query: Bijection between finite and infinite sequences over Reals.
positive_passages.docid: 20085
positive_passages.text: What's the cardinality of all sequences with coefficients in an infinite set?
negative_passages.docid: 91356
negative_passages.text: Irreducibility of an infinite sequence of polynomials
negative_passages.docid: 38242
negative_passages.text: Explicit bijection between the successor of $\alpha$ and $\alpha$ (infinite ordinal).
negative_passages.docid: 53593
negative_passages.text: Limits of sequences of sets
negative_passages.docid: 40868
negative_passages.text: Composition of two functions - Bijection
negative_passages.docid: 123828
negative_passages.text: finite and infinite product of discrete space
negative_passages.docid: 151681
negative_passages.text: arbitrarily long sequences without perfect powers
negative_passages.docid: 38257
negative_passages.text: Continuous bijection from $(0,1)$ to $[0,1]$
negative_passages.docid: 33851
negative_passages.text: Generalizing a sequence.
negative_passages.docid: 64866
negative_passages.text: Proving a Composition of Functions is Bijective
negative_passages.docid: 109926
negative_passages.text: Axiom of Regularity and infinite sequences
negative_passages.docid: 63894
negative_passages.text: These two sequences have the same limit
negative_passages.docid: 108922
negative_passages.text: Cardinality and infinite sets: naturals, integers, rationals, bijections
negative_passages.docid: 139828
negative_passages.text: Finitely Presented Modules and Exact Sequences
negative_passages.docid: 24582
negative_passages.text: Is the set of sequences of natural numbers with trailing zeros countable?
negative_passages.docid: 57269
negative_passages.text: A special bijection between $\mathbb{R}\times \mathbb{R}$ and $\mathbb{R}$
negative_passages.docid: 32340
negative_passages.text: Continuous bijections and their inverses