Does \(N^*\) contain a topological and algebraic copy of \(\beta N\)?

DOI10.1016/0166-8641(90)90113-GzbMath0696.22006MaRDI QIDQ910505

Amha Tume Lisan, Neil Hindman

Publication date: 1990

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

zbMATH Keywords

remainderultrafilternatural numbersStone-Čech compactificationminimal idealalgebraical and topological imbeddingAT-imbeddinghomeomorphic and isomorphic imbeddings

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Remainders in general topology (54D40) Structure of topological semigroups (22A15)

Related Items (3)

Closures of singly generated subsemigroups of \(\beta\) S ⋮ Endomorphic actions of \(\beta{} {\mathbb{N}{}}\) on the torus group ⋮ Ultrafilters on a discrete set with two binary operations

Cites Work

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• The ideal structure of the space of \(\kappa\)-uniform ultrafilters on a discrete semigroup
• Free groups in \(\beta\) N which miss the minimal ideal
• Compact right topological semigroups and generalizations of almost periodicity
• Rechtstopologische Halbgruppen.

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