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Is the Cartesian product of two countable sets countable?

Sophia Robinson | 2023-06-08 22:31:55 | page views：1953
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Sophia Lee

Studied at the University of Adelaide, Lives in Adelaide, Australia.
Since the cartesian product of two countable sets is countable (Lemma 3.17) we conclude that (N -- N) -- Q+ is countable. Therefore S is countable. ... a) Prove that the union of two finite sets is finite; b) Prove that the Cartesian product of two finite sets is finite.
2023-06-10 22:31:55
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Julian Martinez

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Since the cartesian product of two countable sets is countable (Lemma 3.17) we conclude that (N -- N) -- Q+ is countable. Therefore S is countable. ... a) Prove that the union of two finite sets is finite; b) Prove that the Cartesian product of two finite sets is finite.
Further Topics in Analysis: Solutions 2 - Julia Wolf
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