  We give criteria on an inverse system of finite groups that ensure the limit
is just infinite or hereditarily just infinite. More significantly, these
criteria are 'universal' in that all (hereditarily) just infinite profinite
groups arise as limits of the specified form.
  This is a corrected and revised version of the article: 'Inverse system
characterizations of the (hereditarily) just infinite property in profinite
groups', Bull. LMS vol 44, 3 (2012) 413--425.
