# Continuous decompositions of Peano plane continua into pseudo-arcs

Fundamenta Mathematicae (1998)

- Volume: 158, Issue: 1, page 23-40
- ISSN: 0016-2736

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topPrajs, Janusz. "Continuous decompositions of Peano plane continua into pseudo-arcs." Fundamenta Mathematicae 158.1 (1998): 23-40. <http://eudml.org/doc/212300>.

@article{Prajs1998,

abstract = {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.},

author = {Prajs, Janusz},

journal = {Fundamenta Mathematicae},

keywords = {continuous decomposition; locally connected continuum; local separating point; open homogeneity; pseudo-arc; 2-manifold},

language = {eng},

number = {1},

pages = {23-40},

title = {Continuous decompositions of Peano plane continua into pseudo-arcs},

url = {http://eudml.org/doc/212300},

volume = {158},

year = {1998},

}

TY - JOUR

AU - Prajs, Janusz

TI - Continuous decompositions of Peano plane continua into pseudo-arcs

JO - Fundamenta Mathematicae

PY - 1998

VL - 158

IS - 1

SP - 23

EP - 40

AB - 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.

LA - eng

KW - continuous decomposition; locally connected continuum; local separating point; open homogeneity; pseudo-arc; 2-manifold

UR - http://eudml.org/doc/212300

ER -

## References

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