  We answer a question of Piotr Minc by proving that there is no compact
metrizable space whose set of components contains a unique topological copy of
every metrizable compactification of a ray (i.e. a half-open interval) with an
arc (i.e. closed bounded interval) as the remainder. To this end we use the
concept of Borel reductions coming from Invariant descriptive set theory. It
follows as a corollary that there is no compact metrizable space such that
every continuum is homeomorphic to exactly one component of this space.
