Topological gyrogroups: generalization of topological groups
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Publication:526886
DOI10.1016/j.topol.2017.04.004zbMath1382.22008OpenAlexW2606307651MaRDI QIDQ526886
Publication date: 15 May 2017
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2017.04.004
Topological groups (topological aspects) (54H11) Loops, quasigroups (20N05) Other topological algebraic systems and their representations (22A30)
Related Items (22)
Quotient with respect to admissible \(L\)-subgyrogroups ⋮ Cardinal invariants in the quotient spaces of weakly topological groups ⋮ Geometry of gyrogroups via Klein's approach ⋮ Some results on rectifiable spaces ⋮ Topological gyrogroups with Fréchet-Urysohn property and \(\omega^{\omega}\)-base ⋮ Strongly topological gyrogroups with remainders close to metrizable ⋮ Fuzzy gyronorms on gyrogroups ⋮ The Hartman-Mycielski construction in topological gyrogroups ⋮ The first-countability in the quotient spaces of topological gyrogroups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The first-countability of paratopological left-loops ⋮ On Metric Structures of Normed Gyrogroups ⋮ Uniformities on strongly topological gyrogroups ⋮ A note on paratopological loops ⋮ Complete regularity of paratopological gyrogroups ⋮ Embedding of locally compact Hausdorff topological gyrogroups in topological groups ⋮ A note on (strongly) topological gyrogroups ⋮ On paratopological gyrogroups ⋮ Feathered gyrogroups and gyrogroups with countable pseudocharacter ⋮ Extensions of some topological properties in topological gyrogroups
Cites Work
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- Each regular paratopological group is completely regular
- TOPOLOGICAL QUASIGROUPS
- The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems
- Lagrange's Theorem for Gyrogroups and the Cauchy Property
- Topological Loops With Invariant Uniformities
- Contributions to the Theory of Loops
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