Geodesic
On topological gyrogroups
Filomat, Tome 37 (2023) no. 15, p. 5087

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DOI

The concept of gyrogroups is a generalization of groups which do not explicitly have associativity. In this paper, we show that every first-countable strongly topological gyrogroup admits a left-invariant metric generating the original topology of it and every T 0 compact paratopological gyrogroup is a Hausdorff compact topological gyrogroup. Also, some basic properties on topological gyrogroups and paratopological gyrogroups are discussed.
DOI : 10.2298/FIL2315087L
Classification : 54A20, 54A20;
Keywords: Topological gyrogroup, Strongly topological gyrogroup, Paratopological gyrogroup 
Piyu Li; Rongxin Shen. On topological gyrogroups. Filomat, Tome 37 (2023) no. 15, p. 5087 . doi: 10.2298/FIL2315087L
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     author = {Piyu Li and Rongxin Shen},
     title = {On topological gyrogroups},
     journal = {Filomat},
     pages = {5087 },
     year = {2023},
     volume = {37},
     number = {15},
     doi = {10.2298/FIL2315087L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2315087L/}
}
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