Homeomorphism groups on the positive real numbers defined by binary operations

DOI10.1007/s00233-023-10395-6OpenAlexW4388484228MaRDI QIDQ6145726

Sin-Ei Takahasi

Publication date: 9 January 2024

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

Full work available at URL: https://doi.org/10.1007/s00233-023-10395-6

zbMATH Keywords

binary operationhomeomorphism groupcancellative continuous semigroup operation

Mathematics Subject Classification ID

Geometric group theory (20F65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Other groups related to topology or analysis (20F38) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Compact groups of homeomorphisms (57S10)

Cites Work

• Semigroup operations distributed by natural noncancellative semigroup operations on the positive real numbers
• The associativity equation revisited
• Characterization of distributive semigroup operations on the positive real numbers
• Continuous semigroup structures on \(\mathbb R\), cancellative semigroups and bands
• A reconsideration of Jensen's inequality and its applications
• The state of the second part of Hilbert’s fifth problem
• Semigroup operations distributed by the ordinary multiplication or addition on the real numbers
• Sur les opérations définies pour nombres réels

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