  We introduce the coherent algebra of a compact metric measure space by
analogy with the corresponding concept for a finite graph. As an application we
show that upon topologizing the collection of isomorphism classes of compact
metric measure spaces appropriately, the subset consisting of those with
trivial compact quantum automorphism group is of second Baire category.
  The latter result can be paraphrased as saying that "most" compact metric
measure spaces have no (quantum) symmetries; in particular, they also have
trivial ordinary (i.e. classical) automorphism group.
