Geodesic
Exactly two-to-one maps from continua onto some tree-like continua
Fundamenta Mathematicae, Tome 141 (1992) no. 3, pp. 269-276

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

It is known that no dendrite (Gottschalk 1947) and no hereditarily indecomposable tree-like continuum (J. Heath 1991) can be the image of a continuum under an exactly 2-to-1 (continuous) map. This paper enlarges the class of tree-like continua satisfying this property, namely to include those tree-like continua whose nondegenerate proper subcontinua are arcs. This includes all Knaster continua and Ingram continua. The conjecture that all tree-like continua have this property, stated by S. Nadler Jr. and L. E. Ward Jr. (1983), is still neither confirmed nor rejected.
DOI : 10.4064/fm-141-3-269-276
Keywords: Knaster continua, Ingram continua, 2-to-1 map

Wojciech Dębski 1 ; J. Heath 1 ; J. Mioduszewski 1

1 
@article{10_4064_fm_141_3_269_276,
     author = {Wojciech D\k{e}bski and J. Heath and J. Mioduszewski},
     title = {Exactly two-to-one maps from continua onto some tree-like continua},
     journal = {Fundamenta Mathematicae},
     pages = {269--276},
     publisher = {mathdoc},
     volume = {141},
     number = {3},
     year = {1992},
     doi = {10.4064/fm-141-3-269-276},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-141-3-269-276/}
}
TY  - JOUR
AU  - Wojciech Dębski
AU  - J. Heath
AU  - J. Mioduszewski
TI  - Exactly two-to-one maps from continua onto some tree-like continua
JO  - Fundamenta Mathematicae
PY  - 1992
SP  - 269
EP  - 276
VL  - 141
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm-141-3-269-276/
DO  - 10.4064/fm-141-3-269-276
LA  - en
ID  - 10_4064_fm_141_3_269_276
ER  - 
%0 Journal Article
%A Wojciech Dębski
%A J. Heath
%A J. Mioduszewski
%T Exactly two-to-one maps from continua onto some tree-like continua
%J Fundamenta Mathematicae
%D 1992
%P 269-276
%V 141
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm-141-3-269-276/
%R 10.4064/fm-141-3-269-276
%G en
%F 10_4064_fm_141_3_269_276
Wojciech Dębski; J. Heath; J. Mioduszewski. Exactly two-to-one maps from continua onto some tree-like continua. Fundamenta Mathematicae, Tome 141 (1992) no. 3, pp. 269-276. doi: 10.4064/fm-141-3-269-276

Cité par Sources :