On nonregular ultrafilters

Publisher: Cambridge University Press

E-ISSN: 1943-5886|37|1|71-74

ISSN: 0022-4812

Source: The Journal of Symbolic Logic, Vol.37, Iss.1, 1972-03, pp. : 71-74

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Abstract

In this paper we shall construct nonregular ultrafilters showing many of the model-theoretic properties of their regular counterparts. The crucial idea in these constructions is to replace the use of regularity by independent functions. We shall use the notation and terminology of [1], our fundamental concepts being defined as follows: