Borel complexity of isometry classes of $\mathcal{C}(K)$ spaces with countable compacta

Marek Cúth, Martin Doležal, Ondřej Kurka +1

For every countable compact space $K$, we determine the exact Borel complexity of the isometry class of the Banach space $\mathcal{C}(K)$. As a byproduct, we also determine the pre…