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Cardinal functions are often used in the study of Boolean algebras.
Tightness is a cardinal function related to countably generated spaces and their generalizations.
Cardinal functions are widely used in topology as a tool for describing various topological properties.
In a general sense, qi is something that is defined by five "cardinal functions":
In PCF theory the cardinal function is used.
Examples of cardinal functions in algebra are:
Aleph numbers and beth numbers can both be seen as cardinal functions defined on ordinal numbers.
Where is the nth cardinal function of the chebyshev polynomials of the first kind with input argument y.
In fact, his theorem is much more general, giving an upper bound on the cardinality of any Hausdorff space in terms of two cardinal functions.
In mathematics, a cardinal function (or cardinal invariant) is a function that returns cardinal numbers.
J. M. Whitaker also made some significant development in the cardinal function theory of his father, E. T. Whittaker.
Every measurable entity maps into a cardinal function but not every cardinal function is the result of the mapping of a measurable entity.
He has done particularly important work in metrizability theory and generalized metric spaces, cardinal functions, topological function spaces and other topological groups, and special classes of topological maps.