Ultrafilters on omega --- their ideals and their cardinal characteristics

Details Ultrafilters on omega --- their ideals and their cardinal characteristics Ultrafilters on omega --- their ideals and their cardinal characteristics

1997-10-15

arxiv.org/abs/math/9710217v1

Mathematics

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Scientific paper

For a free ultrafilter U on omega we study several cardinal characteristics which describe part of the combinatorial structure of U. We provide various consistency results; e.g. we show how to force simultaneously many characters and many pi --characters. We also investigate two ideals on the Baire space omega^omega naturally related to U and calculate cardinal coefficients of these ideals in terms of cardinal characteristics of the underlying ultrafilter.

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