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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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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
388:Comptes Rendus de l'Académie des Sciences, Série I
151:. The Assouad–Nagata dimension of a metric space
260:Cobzaş, Ş.; Miculescu, R.; Nicolae, A. (2019).
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348:"Note on dimension theory for metric spaces"
264:. Cham, Switzerland: Springer. p. 308.
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331:: CS1 maint: unflagged free DOI (
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381:Assouad, P. (January 4, 1982).
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189:-balls has a refinement with
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527:Mathematical analysis stubs
383:"Sur la distance de Nagata"
149:Lebesgue covering dimension
125:is the infimum of integers
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432:10.1512/iumj.2015.64.5469
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50:Assouad–Nagata dimension
22:Assouad–Nagata dimension
367:10.4064/fm-45-1-143-181
353:Fundamenta Mathematicae
466:–related article is a
311:10.1155/IMRN.2005.3625
193:-multiplicity at most
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100:-multiplicity at most
464:mathematical analysis
224:if it looks at most
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346:Nagata, J. (1958).
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24:(sometimes simply
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18:mathematics
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82:the space
44:Definition
423:1306.5859
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92:-bounded
30:dimension
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94:covering
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