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.
@article{bwmeta1.element.bwnjournal-article-fmv165i1p29bwm,
author = {David Ryden},
title = {Irreducibility of inverse limits on intervals},
journal = {Fundamenta Mathematicae},
volume = {163},
year = {2000},
pages = {29-53},
zbl = {0960.54022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv165i1p29bwm}
}
Ryden, David. Irreducibility of inverse limits on intervals. Fundamenta Mathematicae, Tome 163 (2000) pp. 29-53. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv165i1p29bwm/
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