The first-countability in the quotient spaces of topological gyrogroups

DOI10.1016/j.topol.2023.108473OpenAlexW4322615430MaRDI QIDQ2691881

Jing Zhang, Limin Liu

Publication date: 30 March 2023

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

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108473

zbMATH Keywords

metrizabilityquotient spacesfirst-countabilitystrongly topological gyrogroupsneutral strong subgyrogroups

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Loops, quasigroups (20N05) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Quotient spaces, decompositions in general topology (54B15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hilbert projective metric on a gyrogroup of qubit density matrices
• Topological gyrogroups: generalization of topological groups
• Quotient with respect to admissible \(L\)-subgyrogroups
• Topological groups and related structures
• Spherical continuous wavelet transforms arising from sections of the Lorentz group
• K-loops, gyrogroups and symmetric spaces
• Cardinal invariants of coset spaces
• A note on (strongly) topological gyrogroups
• Submetrizability and first-countability of coset spaces
• Cardinal invariants in the quotient spaces of weakly topological groups
• Uniformities on strongly topological gyrogroups
• A note on paratopological loops
• Complete regularity of paratopological gyrogroups
• Coset spaces and cardinal invariants
• Isomorphism theorems for gyrogroups and L-subgyrogroups.
• Generalized gyrovector spaces and a Mazur--Ulam theorem
• The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems
• Involutory decomposition of groups into twisted subgroups and subgroups
• Lagrange's Theorem for Gyrogroups and the Cauchy Property
• Feathered gyrogroups and gyrogroups with countable pseudocharacter

This page was built for publication: The first-countability in the quotient spaces of topological gyrogroups