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Graduate Is there an order-embedding from \mathbb Z^\infty to \mathbb Q for my paper?
This is a great idea, exactly what I wanted. Thank you!- heptheorist
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- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Is there an order-embedding from \mathbb Z^\infty to \mathbb Q for my paper?
For a paper I'm writing: Does anyone know of an explicit order-embedding (i.e. an order-preserving function) from \mathbb Z^\infty, the direct sum of infinitely many copies of the integers ordered lexicographically, to \mathbb Q, the rationals? It need not be a surjective embedding, but that...- heptheorist
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- Forum: Set Theory, Logic, Probability, Statistics