Dictionary
Thesaurus
Reference
Translate
Web
EQUIPOLLENT - 2 reference results
In the field of mathematics, two sets A and B are equinumerous if they have the same cardinality, i.e., if there exists a bijection f : AB. This is usually denoted

A approx B , or A sim B.

The study of cardinality is often called equinumerosity (equalness-of-number). The terms equipollence (equalness-of-strength) and equipotence (equalness-of-power) are sometimes used instead.

In Set, the category of all sets with functions as morphisms, an isomorphism between two sets is precisely a bijection, and two sets are equinumerous precisely if they are isomorphic in this category.

See also

Search another word or see EQUIPOLLENT on Dictionary | Thesaurus