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Mathematics-Online course: Basic Mathematics - Natural Numbers

Countable Sets

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A set $ A$ is countable if $ A$ is finite or if there exists a bijective map

$\displaystyle f: \mathbb{N} \longmapsto A $

that is

$\displaystyle A = \{a_1,a_2,\ldots\} $

with $ a_i=f(i)$.
(Authors: Kimmerle/Abele)

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  automatically generated 10/31/2008