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(set theory) A one-to-one correspondence, a function which is both a surjection and an injection.

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bijection

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bijection

/baɪ.d͡ʒɛk.ʃən/

noun

(set theory) A one-to-one correspondence, a function which is both a surjection and an injection.

A bijection is a one-to-one correspondence between two sets.

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(set theory) A one-to-one correspondence, a function which is both a surjection and an injection.

The present text has defined a set to be finite if and only if there exists a bijection onto a natural number, and infinite if and only if there does not exist any such bijection.

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bijection

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