A topological obstruction for small-distortion embeddability into spaces of continuous functions on countable compact metric spaces

Florent Pierre Baudier

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,ω],[0,ω\cdot2],\cdots, [0,ω^2]…