For a paper I'm writing: Does anyone know of an explicit order-embedding (i.e. an order-preserving function) from [itex]\mathbb Z^\infty[/itex], the direct sum of infinitely many copies of the integers ordered lexicographically, to [itex]\mathbb Q[/itex], the rationals? It need not be a surjective embedding, but that would be a plus (obviously the two sets are order isomorphic).(adsbygoogle = window.adsbygoogle || []).push({});

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# Order-Embedding to Rationals

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