Adverb
bijectively (not comparable)
In a bijective manner.
If we let U be the inclusion functor from CHaus into Top, maps from βX to K (for K in CHaus) correspond bijectively to maps from X to UK (by considering their restriction to X and using the universal property of βX). Source: Internet
Operators that map such vector spaces to themselves bijectively are very useful in these studies, they naturally form groups by composition. Source: Internet
Thus Dedekind infinite sets contain subsets that correspond bijectively with the natural numbers. Source: Internet