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Mapping/N/Injective not surjective/Exercise
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Give examples of
mappings
φ
,
ψ
:
N
⟶
N
,
{\displaystyle \varphi ,\psi \colon \mathbb {N} \longrightarrow \mathbb {N} ,}
such that
φ
{\displaystyle {}\varphi }
is
injective
, but not
surjective
,
and
ψ
{\displaystyle {}\psi }
is surjective, but not injective.
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