Abstract: We give conditions for a sequential rectifiable space to be Fréchet-Urysohn. Moreover, we give a property of a Fréchet-Urysohn rectifiable space. By these results, we obtain some results related to (strongly) topological gyrogroups and topological groups.
Keywords: rectifiable space; strongly topological gyrogroup; topological gyrogroup; topological group; sequential space; Fréchet-Urysohn space
DOI: DOI 10.14712/1213-7243.2026.009
AMS Subject Classification: 22A22 54A20 54D55