On paratopological gyrogroups

DOI10.1016/j.topol.2021.107994OpenAlexW4205664055MaRDI QIDQ2074370

Li-Hong Xie, Ying-Ying Jin

Publication date: 9 February 2022

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

Full work available at URL: https://arxiv.org/abs/2104.00956

zbMATH Keywords

completely regularseparation axiomsparatopological gyrogroupPontrjagin conditions

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Topological groupoids (including differentiable and Lie groupoids) (22A22) Other topological algebraic systems and their representations (22A30) Connections of general topology with other structures, applications (54H99)

Related Items (1)

The Hartman-Mycielski construction in topological gyrogroups

Cites Work

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• Gyrogroup actions: a generalization of group actions
• Harmonic analysis on the Einstein gyrogroup
• Topological gyrogroups: generalization of topological groups
• Paratopological groups
• A note on paratopological loops
• Complete regularity of paratopological gyrogroups
• Harmonic analysis on the Möbius gyrogroup
• Isomorphism theorems for gyrogroups and L-subgyrogroups.
• Each regular paratopological group is completely regular
• The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems
• Feathered gyrogroups and gyrogroups with countable pseudocharacter
• Beyond the Einstein addition law and its gyroscopic Thomas precession. The theory of gyrogroups and gyrovector spaces

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