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arXiv · 2104.10656

The construction of Hartman-Mycielski in topological gyrogroups

Yingying Jin·Li-Hong Xie
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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 $G$ can be embedded as a closed subgyrogroup of a Hausdorff path-connected and locally path-connected topological gyrogroup $G^\bullet$.

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Yingying Jin, Li-Hong Xie. 2021-04-01. The construction of Hartman-Mycielski in topological gyrogroups. https://arxiv.org/abs/2104.10656

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