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Title: Combinatorics of ideals --- selectivity versus density (English)
Author: Kwela, A.
Author: Zakrzewski, P.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 58
Issue: 2
Year: 2017
Pages: 261-266
Summary lang: English
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Category: math
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Summary: 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. (English)
Keyword: ideals on natural numbers
Keyword: ultrafilter topology
MSC: 03E05
MSC: 03E15
MSC: 54H05
idZBL: Zbl 06773718
idMR: MR3666945
DOI: 10.14712/1213-7243.2015.203
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Date available: 2017-06-13T13:24:41Z
Last updated: 2020-01-05
Stable URL: http://hdl.handle.net/10338.dmlcz/146792
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