Cyclic sequences of periodic sums in \(\beta \mathbb{N} \)

DOI10.1016/J.TOPOL.2023.108731OpenAlexW4387142878MaRDI QIDQ6181122

Valentin Keyantuo, Yevhen Zelenyuk, Yuliya Zelenyuk

Publication date: 22 January 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108731

zbMATH Keywords

idempotentRamsey theoryStone-Čech compactificationright cancelable ultrafiltercyclic semigroup

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35)

Related Items (1)

Finite semigroups and periodic sums systems in $$\beta \mathbb {N}$$ and their Ramsey theoretic consequences

Cites Work

• Algebra in the Stone-Čech compactification: theory and applications
• The Čech-Stone compactification of a discrete groupoid
• Continuous homomorphisms on \(\beta\mathbb{N}\) and Ramsey theory
• Direct products of null semigroups and rectangular bands in \(\beta\mathbb{N}\)
• Elements of finite order in \(\beta \mathbb{N}\)
• N ^∗ does not Contain an Algebraic and Topological Copy of βN
• Large rectangular semigroups in Stone-Cech compactifications
• Finite semigroups in βN and Ramsey theory
• Some new multi-cell Ramsey theoretic results
• Elements of order 2 in $\beta \mathbb{N}$

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