Subprincipal closed ideals in \(\beta N\)

DOI10.1007/BF02575018zbMath0659.22002MaRDI QIDQ1112188

Neil Hindman, Dennis E. Davenport

Publication date: 1987

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134898

zbMATH Keywords

Stone-Cech compactificationRamsey Theorysubprincipal closed idealsupper, lower and Banach density

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Structure of topological semigroups (22A15) Sequences and sets (11B99)

Related Items (3)

Prime properties of the smallest ideal of \(\beta\mathbb{N}\) ⋮ Recurrence in the dynamical system \((X, \langle T_s \rangle_{s \in S})\) and ideals of \(\beta S\) ⋮ Algebraic characterizations of some relative notions of size

Cites Work

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• In a left-topological semigroup with dense center the closure of any left ideal is an ideal
• The ideal structure of the space of \(\kappa\)-uniform ultrafilters on a discrete semigroup
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• Set theory. An introduction to independence proofs
• Sums equal to products in \(\beta{\mathbb N}\)
• On density, translates, and pairwise sums of integers
• Minimal ideals and cancellation in beta(N)
• Compact right topological semigroups and generalizations of almost periodicity
• Filters and the Weak Almost Periodic Compactification of a Discrete Semigroup
• On sets of integers containing k elements in arithmetic progression

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