We say that a set A is denumerable if there exists a bijective function f : N→ A. Suppose that Aand B are denumerable sets such that An B = 0). Prove that AUB is denumerable.

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Answered: We say that a set A is denumerable if…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.2: Norms And Distance Functions

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We say that a set A is denumerable if there exists a bijective function f : N→ A. Suppose that A and B are denumerable sets such that An B = 0). Prove that AUB is denumerable.