  E.D. Tymchatyn constructed a hereditarily locally connected continuum which
can be approximated by a sequence of mutually disjoint arcs. We show the
example re-opens a conjecture of G.T. Seidler and H. Kato about continua which
admit positive entropy homeomorphisms. We prove that every indecomposable
semicontinuum can be approximated by a sequence of disjoint subcontinua, and no
composant of an indecomposable continuum can be embedded into a Suslinian
continuum. We also prove that if $Y$ is a hereditarily unicoherent Suslinian
continuum, then there exists $\varepsilon>0$ such that every two
$\varepsilon$-dense subcontinua of $Y$ intersect.
