Irreducibility of inverse limits on intervals
Volume 165 / 2000
Fundamenta Mathematicae 165 (2000), 29-53 DOI: 10.4064/fm-165-1-29-53
A procedure for obtaining points of irreducibility for an inverse limit on intervals is developed. In connection with this, the following are included. A semiatriodic continuum is defined to be a continuum that contains no triod with interior. Characterizations of semiatriodic and unicoherent continua are given, as well as necessary and sufficient conditions for a subcontinuum of a semiatriodic and unicoherent continuum M to lie within the interior of a proper subcontinuum of M.