Ivan Shishkin, Birch Grove

Bijective map

Definition / Mathematical formalism / Stub

Also known as: Bijection

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A bijection, or bijective map, is a map that is both injective and surjective.

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  • Démontrer que les applications suivantes sont des bijections:

    1. f ⁣:n∈Z⟼n+2∈Zf\colon n\in\Z\longmapsto n+2\in\Z.
    2. g ⁣:x∈R⟼2x+1∈Rg\colon x\in\R\longmapsto 2x+1\in\R.
    3. hh qui a toute partie de N\N associe son complémentaire.
    Open exercise
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