I have to explain what a "bijection" function is, but it seems that "equinumerous" is a synonym for bijection. Is that correct?
2026-03-30 03:35:44.1774841744
What is at the difference bijection and equinumerous?
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There's no "equinumerous" function or "bijective" set. There are equinumerous sets and bijective functions. Equinumerous sets are sets for which at least a bijection (bijective function) exists.
Sets $A$ and $B$ are equinumerous if there exists a one-to-one and onto correspondence between them. This means that it must exist a function from $A$ to $B$ such that for every element of $B$ there exist just one correspondent element of $A$.
Finite and infinite sets can both be equinumerous.