Geodesic
Combinatorics of ideals --- selectivity versus density
Commentationes Mathematicae Universitatis Carolinae, Tome 58 (2017) no. 2, pp. 261-266.

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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.
DOI : 10.14712/1213-7243.2015.203
Classification : 03E05, 03E15, 54H05
Keywords: ideals on natural numbers; ultrafilter topology 
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Kwela, A.; Zakrzewski, P. Combinatorics of ideals --- selectivity versus density. Commentationes Mathematicae Universitatis Carolinae, Tome 58 (2017) no. 2, pp. 261-266. doi : 10.14712/1213-7243.2015.203. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.203/

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