Show that ({0,1}^{mathbb{N}}={) all infinite sequences consisting of 0 and 1(}) is uncountable.

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Show that $\{0,1\}^{\mathbb{N}}=\{$ all infinite sequences consisting of 0 and 1$\}$ is uncountable.

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Measures Integrals And Martingales

ISBN: 9781316620243

2nd Edition

Authors: René L. Schilling

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Question Posted: Jan 25, 2024 01:00 AM

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Show that ({0,1}^{mathbb{N}}={) all infinite sequences consisting of 0 and 1(}) is uncountable.

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Assume that the set 0 1 were indeed countable and that sjeN was an enumeration each s would be ...View the full answer

Measures Integrals And Martingales

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