Perturbations of isometries between C(K)-spaces

Abstract

We study the Gromov–Hausdorff and Kadets distances between $C(K)$-spaces and their quotients. We prove that if the Gromov–Hausdorff distance between $C(K)$ and $C(L)$ is less than $1/16$ then $K$ and $L$ are homeomorphic. If the Kadets distanc