bijectively
Adverb
Meaning
bijectively (not comparable)
In a bijective manner.
Examples
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).
Operators that map such vector spaces to themselves bijectively are very useful in these studies, they naturally form groups by composition.
Thus Dedekind infinite sets contain subsets that correspond bijectively with the natural numbers.