The Urysohn Sphere Is Oscillation Stable
نویسنده
چکیده
We solve the oscillation stability problem for the Urysohn sphere, an analog of the distortion problem for `2 in the context of the Urysohn space U. This is achieved by solving a purely combinatorial problem involving a family of countable ultrahomogeneous metric spaces with finitely many dis-
منابع مشابه
. M G ] 9 J un 2 00 7 THE OSCILLATION STABILITY PROBLEM FOR THE URYSOHN SPHERE : A COMBINATORIAL APPROACH
We study the oscillation stability problem for the Urysohn sphere, an analog of the distortion problem for ℓ 2 in the context of the Urysohn space U. In particular, we show that this problem reduces to a purely combinatorial problem involving a family of countable ultrahomogeneous metric spaces with finitely many distances.
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متن کاملar X iv : 0 70 6 . 13 26 v 3 [ m at h . M G ] 2 7 Fe b 20 09 THE OSCILLATION STABILITY PROBLEM FOR THE URYSOHN SPHERE : A COMBINATORIAL APPROACH
We study the oscillation stability problem for the Urysohn sphere, an analog of the distortion problem for ℓ 2 in the context of the Urysohn space U. In particular, we show that this problem reduces to a purely combinatorial problem involving a family of countable ultrahomogeneous metric spaces with finitely many distances.
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We study the oscillation stability problem for the Urysohn sphere, an analog of the distortion problem for ℓ 2 in the context of the Urysohn space U. In particular, we show that this problem reduces to a purely combinatorial problem involving a family of countable ultrahomogeneous metric spaces with finitely many distances.
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