a single hair accumulates everywhere upon itself

[fflo]

One new type of invariant
set constructed in this
paper is an indecomposable
continuum in which a
pair of hairs accumulate
upon each other. The

second new type consists
of an indecomposable continuum
together with a completely
separate hair that accumulates
on this continuum. Previously,

the only known types of such
invariant sets were either
simple hairs or indecom-
posable continua for which
a single hair accumulates
everywhere upon itself.