Feathered gyrogroups and gyrogroups with countable pseudocharacter

DOI10.2298/FIL1916113BzbMath1499.54141arXiv1911.12938MaRDI QIDQ5864242

Meng Bao, Fucai Lin

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12938

zbMATH Keywords

paracompactquotient topologyRaĭkov completetopological gyrogroups\(P\)-gyrogroupfeathered gyrogroupNSS-gyrogroup

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Convergence and divergence of series and sequences (40A05) Convergence and divergence of series and sequences of functions (40A30) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Density, gaps, topology (11B05) Foundations: limits and generalizations, elementary topology of the line (26A03) Convergence and divergence of infinite limiting processes (40A99)

Related Items (15)

Quotient with respect to admissible \(L\)-subgyrogroups ⋮ Cardinal invariants in the quotient spaces of weakly topological groups ⋮ Some results on rectifiable spaces ⋮ Topological gyrogroups with Fréchet-Urysohn property and \(\omega^{\omega}\)-base ⋮ Strongly topological gyrogroups with remainders close to metrizable ⋮ 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 ⋮ A note on (strongly) topological gyrogroups ⋮ On paratopological gyrogroups ⋮ Extensions of some topological properties in topological gyrogroups ⋮ Extended Cartan fixed point theorem

Cites Work

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• Topological groups and related structures
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• Some properties of rectifiable spaces
• Remainders of rectifiable spaces
• A note on paratopological loops
• Isomorphism theorems for gyrogroups and L-subgyrogroups.
• The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems
• Beyond the Einstein addition law and its gyroscopic Thomas precession. The theory of gyrogroups and gyrovector spaces

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