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.
@article{bwmeta1.element.bwnjournal-article-fmv158i1p23bwm,
author = {Janusz Prajs},
title = {Continuous decompositions of Peano plane continua into pseudo-arcs},
journal = {Fundamenta Mathematicae},
volume = {158},
year = {1998},
pages = {23-40},
zbl = {0929.54023},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv158i1p23bwm}
}
Prajs, Janusz. Continuous decompositions of Peano plane continua into pseudo-arcs. Fundamenta Mathematicae, Tome 158 (1998) pp. 23-40. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv158i1p23bwm/
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