Elements of finite order in \(\beta \mathbb{N}\)

DOI10.1016/j.aim.2022.108608zbMath1503.22003OpenAlexW4288050002WikidataQ113880859 ScholiaQ113880859MaRDI QIDQ2675126

Yevhen Zelenyuk

Publication date: 20 September 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2022.108608

zbMATH Keywords

idempotentRamsey theoryStone-Čech compactificationelement of finite orderright cancelable ultrafilter

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Structure of topological semigroups (22A15) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Related Items (1)

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

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
• N ^∗ does not Contain an Algebraic and Topological Copy of βN
• Finite semigroups in βN and Ramsey theory
• Elements of order 2 in $\beta \mathbb{N}$
• Ultrafilters and topologies on groups

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