Definition:Uncountable

Definition

An infinite set which is not countable is described as uncountable.

See Sufficient Conditions for Uncountability for a list of conditions that establish uncountablity.

Also see

• Countable

• Results about uncountable sets can be found here.

Sources

• Allan Clark: Elements of Abstract Algebra (1971)... (previous)... (next): $\S 15$
• René L. Schilling: Measures, Integrals and Martingales (2005)... (previous)... (next) $2.4$