Van der Waerden spaces

DOI10.1090/S0002-9939-01-06116-0zbMath0979.54036MaRDI QIDQ2759006

Menachem Kojman

Publication date: 10 December 2001

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

zbMATH Keywords

compactificationfinite sumsvan der Waerden's theoremconverging sequence

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Generalized Ramsey theory (05C55) Monotonic functions, generalizations (26A48) Other combinatorial set theory (03E05) Additive number theory; partitions (11P99)

Related Items (14)

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 ⋮ Invariant ideals and their applications to the turnpike theory ⋮ Unboring ideals ⋮ Convergence in van der Waerden and Hindman spaces ⋮ Homogeneous ideals on countable sets ⋮ Hindman spaces ⋮ \(\ell\)-selection principles for sequences of functions ⋮ Density versions of Schur's theorem for ideals generated by submeasures ⋮ Rearrangement of conditionally convergent series on a small set ⋮ Ideal version of Ramsey’s theorem ⋮ New Hindman spaces

Cites Work

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• Algebra in the Stone-Čech compactification: theory and applications
• Finite sums from sequences within cells of a partition of N
• Partitions and Sums and Products of Integers
• Nonmetrizable Topological Dynamics and Ramsey Theory

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