Combinatorics of ideals - selectivity versus density

Adam Kwela , Piotr Zakrzewski


This note is devoted to combinatorial properties of ideals on the set of natural numbers. By a result of Mathias, two such properties, selectivity and density, in the case of definable ideals, exclude each other. The purpose of this note is to measure the "distance" between them with the help of ultrafilter topologies of Louveau.
Author Adam Kwela IM
Adam Kwela,,
- Institute of Mathematics
, Piotr Zakrzewski
Piotr Zakrzewski,,
Journal seriesCommentationes Mathematicae Universitatis Carolinae, ISSN 0010-2628, e-ISSN 1213-7243
Issue year2017
Keywords in Englishideals on natural numbers, ultrafilter topology
Languageen angielski
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