cardominated

Cardominated is a rarely used, informal term in mathematics that conveys a sense of domination or control by a cardinality or cardinal-parameter, but it does not have a single standard definition. Because it is not a widely adopted technical term, its exact meaning depends on the context and the source in which it appears.

In practice, cardominated is typically invoked to describe a relationship where one object is majorized or bounded by another in a way that involves cardinalities or cardinal parameters. In set theory or combinatorics, this might take the form of saying that every element of one family can be matched with an element of another under a prescribed cardinal bound. In analysis or computability theory, the idea might appear as an informal reference to domination of growth or complexity constrained by a cardinality consideration rather than by a numerical bound. In discussions of cardinal invariants of the continuum, relationships between invariants are sometimes described as being controlled or dominated by larger cardinals, a notion that could be referred to in informal terms as cardominated in some expository writing.

Because the term lacks a fixed, universally accepted definition, readers should consult the precise usage in the cited source to understand what is meant in that context. See also domination, dominating number, cofinality, and cardinal invariants.