cardinalvalued
Cardinalvalued is an adjective used in mathematics to describe objects, functions, or invariants whose values are cardinal numbers rather than real numbers or ordinals. In set theory, a function is cardinal-valued if its codomain consists of cardinals—the initial ordinals that index the sizes of sets. Informally, a cardinal-valued function assigns to each input a size.
Examples include the cardinality function that maps any set to its cardinality, denoted |A|. More generally,
Cardinal arithmetic governs the behavior of cardinal-valued quantities. For infinite cardinals κ and λ, one has κ + λ = max{κ, λ}
The term is not always standard in published literature; it is often used informally to denote a
See also: cardinality, cardinal arithmetic, cardinal function, cofinality.