The construction of Hartman-Mycielski in topological gyrogroups
arXiv:2104.10656
Abstract
The concept of gyrogroups is a generalization of groups which do not explicitly have associativity. Recently, Wattanapan et al consider the construction of Hartman-Mycielski in strongly topological gyrogroups. In this paper, we extend their results in topological gyrogroups. We mainly, among other results, prove that every Hausdorff topological gyrogroup can be embedded as a closed subgyrogroup of a Hausdorff path-connected and locally path-connected topological gyrogroup .
16 pages. arXiv admin note: substantial text overlap with arXiv:2104.00956