A topological obstruction for small-distortion embeddability into spaces of continuous functions on countable compact metric spaces
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abstract
We give the first lower bound on the $scr C(K)$-distortion of the class of separable Banach spaces, for $K$ a countable compact in the family ${ [0,omega],[0,omegacdot2],cdots, [0,omega^2], cdots, [0,omega^kcdot n],cdots,[0,omega^omega]}$.