Complete regularity of paratopological gyrogroups

DOI10.1016/j.topol.2019.106951zbMath1439.22006OpenAlexW2990342801WikidataQ126656808 ScholiaQ126656808MaRDI QIDQ2291595

Rasimate Maungchang, Watchareepan Atiponrat

Publication date: 31 January 2020

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

Full work available at URL: https://doi.org/10.1016/j.topol.2019.106951

zbMATH Keywords

topological gyrogroupparatopological gyrogroupparatopological loopparatopological monoid

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items (11)

Cardinal invariants in the quotient spaces of weakly topological groups ⋮ Topological gyrogroups with Fréchet-Urysohn property and \(\omega^{\omega}\)-base ⋮ The Hartman-Mycielski construction in topological gyrogroups ⋮ The first-countability in the quotient spaces of topological gyrogroups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Uniformities on strongly topological gyrogroups ⋮ Embedding of locally compact Hausdorff topological gyrogroups in topological groups ⋮ On paratopological gyrogroups ⋮ Extensions of some topological properties 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
• Rectifiable spaces
• Harmonic analysis on the Möbius gyrogroup
• Isomorphism theorems for gyrogroups and L-subgyrogroups.
• Möbius's functional equation and Schur's lemma with applications to the complex unit disk
• Einstein's velocity addition law and its hyperbolic geometry
• Each regular paratopological group is completely regular
• The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems

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