On Hindman spaces and the Bolzano-Weierstrass property

DOI10.1016/J.TOPOL.2013.08.007zbMath1295.40005OpenAlexW2058165143MaRDI QIDQ392829

Rafał Filipów

Publication date: 15 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.topol.2013.08.007

zbMATH Keywords

idealideal convergenceHindman theoremmaximal almost disjoint familyBolzano-Weierstrass propertysequentially compact space

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Foundations: limits and generalizations, elementary topology of the line (26A03) Ramsey theory (05D10) Ideal and statistical convergence (40A35) Summability in abstract structures (40J05)

Related Items (3)

Convergence in van der Waerden and Hindman spaces ⋮ Differentially compact spaces ⋮ New Hindman spaces

Cites Work

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• Topics in topology
• \(\ell\)-selection principles for sequences of functions
• Topological dynamics and combinatorial number theory
• Finite sums from sequences within cells of a partition of N
• Van der Waerden spaces
• Hindman spaces
• Ideal convergence of bounded sequences
• On completely regular spaces

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