Hindman spaces

DOI10.1090/S0002-9939-01-06238-4zbMath0985.54032OpenAlexW4235418344MaRDI QIDQ2781325

Menachem Kojman

Publication date: 19 March 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06238-4

zbMATH Keywords

compactificationHindman's theoremfinite sumsconverging sequencenonmetrizable topological spaces

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Generalized Ramsey theory (05C55) Other combinatorial set theory (03E05) Additive number theory; partitions (11P99)

Related Items (10)

Van der Waerden spaces and Hindman spaces are not the same ⋮ Ideal convergence of bounded sequences ⋮ A brief remark on van der Waerden spaces ⋮ On Hindman spaces and the Bolzano-Weierstrass property ⋮ Unboring ideals ⋮ Convergence in van der Waerden and Hindman spaces ⋮ Homogeneous ideals on countable sets ⋮ \(\ell\)-selection principles for sequences of functions ⋮ Differentially compact spaces ⋮ New Hindman spaces

Cites Work

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• Topological dynamics and combinatorial number theory
• Algebra in the Stone-Čech compactification: theory and applications
• Finite sums from sequences within cells of a partition of N
• A short proof of Hindman's theorem
• Van der Waerden spaces
• Partitions and Sums and Products of Integers
• Nonmetrizable Topological Dynamics and Ramsey Theory

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