Conditions under which $K₂(_F)$ is not generated by Dennis-Stein symbols

Kevin Hutchinson

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Displaying similar documents to “Conditions under which $K ₂ (_{F})$ is not generated by Dennis-Stein symbols”

Ultrametric spaces bi-Lipschitz embeddable in $ℝ^{n}$

Kerkko Luosto (1996)

Fundamenta Mathematicae

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It is proved that if an ultrametric space can be bi-Lipschitz embedded in $ℝ^{n}$ , then its Assouad dimension is less than n. Together with a result of Luukkainen and Movahedi-Lankarani, where the converse was shown, this gives a characterization in terms of Assouad dimension of the ultrametric spaces which are bi-Lipschitz embeddable in $ℝ^{n}$ .