Title:
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Combinatorics of ideals --- selectivity versus density (English) |
Author:
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Kwela, A. |
Author:
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Zakrzewski, P. |
Language:
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English |
Journal:
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Commentationes Mathematicae Universitatis Carolinae |
ISSN:
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0010-2628 (print) |
ISSN:
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1213-7243 (online) |
Volume:
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58 |
Issue:
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2 |
Year:
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2017 |
Pages:
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261-266 |
Summary lang:
|
English |
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Category:
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math |
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Summary:
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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. (English) |
Keyword:
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ideals on natural numbers |
Keyword:
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ultrafilter topology |
MSC:
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03E05 |
MSC:
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03E15 |
MSC:
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54H05 |
idZBL:
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Zbl 06773718 |
idMR:
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MR3666945 |
DOI:
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10.14712/1213-7243.2015.203 |
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Date available:
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2017-06-13T13:24:41Z |
Last updated:
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2020-01-05 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/146792 |
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Reference:
|
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Reference:
|
[2] Grigorieff S.: Combinatorics on ideals and forcing.Ann. Math. Logic 3 (1971), 363–394. Zbl 0328.02041, MR 0297560, 10.1016/0003-4843(71)90011-8 |
Reference:
|
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Reference:
|
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Reference:
|
[5] Louveau A.: Une métode topologique pour l'étude de la propriété de Ramsey.Israel J. Math. 23 (1976), 97–116. MR 0411971, 10.1007/BF02756789 |
Reference:
|
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Reference:
|
[7] Thümmel E.: Ramsey theorems and topological dynamics.PhD. Thesis, Charles University of Prague, 1996. |
Reference:
|
[8] Todorčević S.: Topics in Topology.Lecture Notes in Mathematics, 1652, Springer, Berlin, 1997. Zbl 0953.54001, MR 1442262, 10.1007/BFb0096295 |
Reference:
|
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Reference:
|
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