  It is shown that the family of all homogeneous continua in the hyperspace of
all subcontinua of any finite-dimensional Euclidean cube or the Hilbert cube is
an analytic subspace of the hyperspace which contains a topological copy of the
linear space $c_0=\{(x_k)\in \mathbb R^\omega: \lim x_k=0\}$ as a closed
subset.
