Hereditarily indecomposable subcontinua of inverse limits of Souslin arcs are metric

摘要

We prove that if S_i is a Souslin arc (a Hausdorff arc that is the compactification of a Souslin line) for each i and X = lim{S_i, f_j~i}_(j＜i), then every hereditarily indecomposable subcontinuum of X is metric. Since every non-degenerate hereditarily i