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The generalized metric property in strongly topological gyrogroups - MaRDI portal

The generalized metric property in strongly topological gyrogroups (Q6611776)

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scientific article; zbMATH DE number 7919663
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The generalized metric property in strongly topological gyrogroups
scientific article; zbMATH DE number 7919663

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    The generalized metric property in strongly topological gyrogroups (English)
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    27 September 2024
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    The authors prove that a strongly topological gyrogroup is a \(q\)-space if and only if it is an \(M\)-space. In addition, the authors provide a characterization of weakly feathered strongly topological gyrogroups by showing that a strongly topological gyrogroup \(G\) is weakly feathered if and only if it contains a compact strong subgyrogroup \(H\) such that the quotient space \(G/H\) is submetrizable.
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    strongly topological gyrogroups
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    metrizability
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    \(q\)-spaces
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    weakly feathered topological gyrogroups
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