paper

Game-theoretic characterization of the Gurarii space

arXiv:1604.06950 · doi:10.1007/s00013-017-1088-2

Abstract

We present a simple and natural infinite game building an increasing chain of finite-dimensional Banach spaces. We show that one of the players has a strategy with the property that, no matter how the other player plays, the completion of the union of the chain is linearly isometric to the Gurarii space.

Added new section; minor corrections; 6 pages

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