Wilder continua and their subfamilies as coanalytic absorbers

The family of Wilder continua in the cube In and its two subfamilies-of continuum-wise Wilder continua and of hereditarily arcwise connected continua-are recognized as coanalytic absorbers in the hyperspace C(In) of subcontinua of In for 3≤n≤∞. In particular, each of them is homeomorphic to the set of all nonempty countable closed subsets of the unit interval I.