. M G ] 1 2 O ct 2 00 7 THE OSCILLATION STABILITY PROBLEM FOR THE URYSOHN SPHERE : A COMBINATORIAL APPROACH
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چکیده
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.
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.
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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تاریخ انتشار 2008