Geodesic
Continuous decompositions of Peano plane continua into pseudo-arcs
Fundamenta Mathematicae, Tome 158 (1998) no. 1, pp. 23-40.

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

Locally planar Peano continua admitting continuous decomposition into pseudo-arcs (into acyclic curves) are characterized as those with no local separating point. This extends the well-known result of Lewis and Walsh on a continuous decomposition of the plane into pseudo-arcs.
DOI : 10.4064/fm-158-1-23-40
Keywords: continuous decomposition, locally connected continuum, local separating point, open homogeneity, pseudo-arc, 2-manifold

Janusz R. Prajs 1

1 
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Janusz R. Prajs. Continuous decompositions of Peano plane continua into pseudo-arcs. Fundamenta Mathematicae, Tome 158 (1998) no. 1, pp. 23-40. doi : 10.4064/fm-158-1-23-40. http://geodesic.mathdoc.fr/articles/10.4064/fm-158-1-23-40/

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