  Recent works have proved the existence of symmetry-protected edge states in
certain one-dimensional topological band insulators and superconductors at the
gap-closing points which define quantum phase transitions between two
topologically nontrivial phases. We show how this picture generalizes to
multiband critical models belonging to any of the chiral symmetry classes AIII,
BDI, or CII of noninteracting fermions in one dimension.
