Ideals of nowhere dense sets in some topologies on positive integers

DOI10.1016/j.topol.2018.08.015zbMath1398.54057OpenAlexW2889518477MaRDI QIDQ1790241

Andrzej Nowik, Marta Kwela

Publication date: 2 October 2018

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2018.08.015

zbMATH Keywords

arithmetic progressionidealnowhere dense setconnected Hausdorff spaceFurstenberg topologyGolomb topologyKirch topology

Mathematics Subject Classification ID

Descriptive set theory (03E15) Connected and locally connected spaces (general aspects) (54D05) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Density, gaps, topology (11B05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Arithmetic progressions (11B25) Primes (11A41)

Related Items (2)

On some relations between ideals of nowhere dense sets in topologies on positive integers ⋮ On some generalizations of the Kirch's ideal

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