New Hindman spaces

DOI10.1090/proc/15720zbMath1485.54005OpenAlexW3174386325MaRDI QIDQ5020724

Jacek Tryba, Adam Kwela, Rafał Filipów, Krzysztof Kowitz

Publication date: 7 January 2022

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

Full work available at URL: https://doi.org/10.1090/proc/15720

zbMATH Keywords

ideal convergenceHindman spacevan der Waerden spacesummable idealIP-setAP-set

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Consistency and independence results (03E35) Generalized Ramsey theory (05C55) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Counterexamples in general topology (54G20) Continuum hypothesis and Martin's axiom (03E50)

Related Items (2)

Unboring ideals ⋮ The relationship between \(\mathcal{D}_{f i n} \)-ultrafilter and \(Q\)-point

Cites Work

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• Van der Waerden spaces
• Hindman spaces
• “Weak yet strong” restrictions of Hindman’s Finite Sums Theorem
• Van der Waerden spaces and Hindman spaces are not the same
• A brief remark on van der Waerden spaces
• The Existence of Certain Ultrafilters on N and a Conjecture of Graham and Rothschild
• On completely regular spaces

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