Geodesic
Decompositions of cyclic elements of locally connected continua
D. Daniel1
1 Department of Mathematics Lamar University Beaumont, TX 77710, U.S.A.
Colloquium Mathematicum, Tome 119 (2010) no. 2, pp. 321-330.

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

Let $X$ denote a locally connected continuum such that cyclic elements have metrizable $G_{\delta }$ boundary in $X$. We study the cyclic elements of $X$ by demonstrating that each such continuum gives rise to an upper semicontinuous decomposition $G$ of $X$ into continua such that $X/G$ is the continuous image of an arc and the cyclic elements of $X$ correspond to the cyclic elements of $X/G$ that are Peano continua.
DOI : 10.4064/cm119-2-10
Keywords: denote locally connected continuum cyclic elements have metrizable delta boundary study cyclic elements demonstrating each continuum gives rise upper semicontinuous decomposition continua continuous image arc cyclic elements correspond cyclic elements peano continua

D. Daniel 1

1 Department of Mathematics Lamar University Beaumont, TX 77710, U.S.A. 
@article{10_4064_cm119_2_10,
     author = {D. Daniel},
     title = {Decompositions of cyclic elements
 of locally connected continua},
     journal = {Colloquium Mathematicum},
     pages = {321--330},
     publisher = {mathdoc},
     volume = {119},
     number = {2},
     year = {2010},
     doi = {10.4064/cm119-2-10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm119-2-10/}
}
TY  - JOUR
AU  - D. Daniel
TI  - Decompositions of cyclic elements
 of locally connected continua
JO  - Colloquium Mathematicum
PY  - 2010
SP  - 321
EP  - 330
VL  - 119
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm119-2-10/
DO  - 10.4064/cm119-2-10
LA  - en
ID  - 10_4064_cm119_2_10
ER  - 
%0 Journal Article
%A D. Daniel
%T Decompositions of cyclic elements
 of locally connected continua
%J Colloquium Mathematicum
%D 2010
%P 321-330
%V 119
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm119-2-10/
%R 10.4064/cm119-2-10
%G en
%F 10_4064_cm119_2_10
D. Daniel. Decompositions of cyclic elements
 of locally connected continua. Colloquium Mathematicum, Tome 119 (2010) no. 2, pp. 321-330. doi : 10.4064/cm119-2-10. http://geodesic.mathdoc.fr/articles/10.4064/cm119-2-10/

Cité par Sources :