  We answer two questions about the topology of end spaces of infinite type
surfaces and the action of the mapping class group that have appeared in the
literature. First, we give examples of infinite type surfaces with end spaces
that are not self-similar, but a unique maximal type of end, either a singleton
or Cantor set. Secondly, we use an argument of Tsankov to show that the "local
complexity" relation $\preccurlyeq$ on end types gives an equivalence relation
that agrees with the notion of being locally homeomorphic.
