Abstract
A procedure for obtaining points of irreducibility for an inverse limit on intervals is developed. In connection with this, the following are included. A se- miatriodic 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 ofM.
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