Van der Waerden spaces and Hindman spaces are not the same

DOI10.1090/S0002-9939-02-06916-2zbMath1024.54002arXivmath/0112265MaRDI QIDQ4791509

Menachem Kojman, Saharon Shelah

Publication date: 28 January 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112265

zbMATH Keywords

arithmetic progressionscontinuum hypothesismaximal almost disjoint familyvan der Waerden spaceHindman spaces

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Consistency and independence results (03E35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Continuum hypothesis and Martin's axiom (03E50)

Related Items (5)

A brief remark on van der Waerden spaces ⋮ Unboring ideals ⋮ Convergence in van der Waerden and Hindman spaces ⋮ Differentially compact spaces ⋮ New Hindman spaces

Cites Work

• Finite sums from sequences within cells of a partition of N
• Van der Waerden spaces
• Hindman spaces

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