no. 4
Analyse mathématique, Topologie
Some comments on Laakso graphs and sets of differences
Margaris, Alexandros1 ; Robinson, James C.1 
1 Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK
Comptes Rendus. Mathématique, Tome 358 (2020) no. 4, pp. 515-521.

We recall a variation of a construction due to Laakso [3], also used by Lang and Plaut [3] of a doubling metric space X that cannot be embedded into any Hilbert space. We give a more concrete version of this construction and motivated by the results of Olson & Robinson [6], we consider the Kuratowski embedding Φ(X) of X into L ∞ (X) and prove that Φ(X)-Φ(X) is not doubling.

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Révisé le :
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DOI : 10.5802/crmath.70
Margaris, Alexandros 1 ; Robinson, James C. 1

1 Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK 
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Margaris, Alexandros; Robinson, James C. Some comments on Laakso graphs and sets of differences. Comptes Rendus. Mathématique, Tome 358 (2020) no. 4, pp. 515-521. doi : 10.5802/crmath.70. http://www.numdam.org/articles/10.5802/crmath.70/

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