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 
@article{10_4064_fm_158_1_23_40,
     author = {Janusz R. Prajs},
     title = {Continuous decompositions of {Peano} plane continua into pseudo-arcs},
     journal = {Fundamenta Mathematicae},
     pages = {23--40},
     publisher = {mathdoc},
     volume = {158},
     number = {1},
     year = {1998},
     doi = {10.4064/fm-158-1-23-40},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-158-1-23-40/}
}
TY  - JOUR
AU  - Janusz R. Prajs
TI  - Continuous decompositions of Peano plane continua into pseudo-arcs
JO  - Fundamenta Mathematicae
PY  - 1998
SP  - 23
EP  - 40
VL  - 158
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm-158-1-23-40/
DO  - 10.4064/fm-158-1-23-40
LA  - en
ID  - 10_4064_fm_158_1_23_40
ER  - 
%0 Journal Article
%A Janusz R. Prajs
%T Continuous decompositions of Peano plane continua into pseudo-arcs
%J Fundamenta Mathematicae
%D 1998
%P 23-40
%V 158
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm-158-1-23-40/
%R 10.4064/fm-158-1-23-40
%G en
%F 10_4064_fm_158_1_23_40
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

Cité par Sources :