Nonstandard characterisations of tensor products and monads in the theory of ultrafilters
Nonstandard characterisations of tensor products and monads in the theory of ultrafilters
Abstract We use nonstandard methods, based on iterated hyperextensions, to develop applications to Ramsey theory of the theory of monads of ultrafilters. This is performed by studying in detail arbitrary tensor products of ultrafilters, as well as by characterising their combinatorial properties by means of their monads. This extends to …