Geodesic
Irreducibility of inverse limits on intervals
Fundamenta Mathematicae, Tome 165 (2000) no. 1, pp. 29-53.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm-165-1-29-53
Keywords: continuum, irreducible, inverse limit, chainable, triod, unicoherent, indecomposable, absolutely terminal subcontinuum

David J. Ryden 1

1 
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David J. Ryden. Irreducibility of inverse limits on intervals. Fundamenta Mathematicae, Tome 165 (2000) no. 1, pp. 29-53. doi : 10.4064/fm-165-1-29-53. http://geodesic.mathdoc.fr/articles/10.4064/fm-165-1-29-53/

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