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Le Donne, Enrico; Rajala, Tapio (2015). "Assouad dimension, Nagata dimension, and uniformly close metric tangents".
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Lang, Urs; Schlichenmaier, Thilo (2005). "Nagata dimension, quasisymmetric embeddings, and
Lipschitz extensions".
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in 1958 and reformulated by
Patrice Assouad in 1982, who introduced the now-usual definition.
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The Nagata dimension of a metric space is always less than or equal to its
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This definition can be rephrased to make it more similar to that of the
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Compare the similar definitions of
Lebesgue covering dimension and
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means that the diameter of each set of the covering is bounded by
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212:. A space has Lebesgue covering dimension at most
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151:. The Assouad–Nagata dimension of a metric space
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348:"Note on dimension theory for metric spaces"
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331:: CS1 maint: unflagged free DOI (
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383:"Sur la distance de Nagata"
149:Lebesgue covering dimension
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353:Fundamenta Mathematicae
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193:-multiplicity at most
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100:-multiplicity at most
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346:Nagata, J. (1958).
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18:mathematics
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82:the space
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