Equinumerosity
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Wikipedia
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
- or .
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
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Last updated on Monday July 21, 2008 at 18:31:00 PDT (GMT -0700)
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Last updated on Monday July 21, 2008 at 18:31:00 PDT (GMT -0700)
View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation
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