an onto map
a one-to-one map
The continuum $Y$ is tree-like since it admits a map onto $X$.
This map carries lines to lines $\langle$carries $M$ onto $N\rangle$.
[see also: send]
$F$ maps $\{a,b\}$ to $\{c,d\}$.
The point $x$ maps to $\infty$ under $f$.
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