AskDefine | Define equipollence

User Contributed Dictionary

English

Noun

  1. The condition of being equipollent

Extensive Definition

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 : A → B. 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

equipollence in Bulgarian: Равномощно множество
equipollence in Catalan: Equipotència
equipollence in French: Équipotence
equipollence in Croatian: Jednakobrojnost
equipollence in Occitan (post 1500): Equipoténcia
equipollence in Serbian: Еквипотенција
equipollence in Chinese: 等势
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