- Tytuł:
- Exactly two-to-one maps from continua onto some tree-like continua
- Autorzy:
-
Dębski, Wojciech
Heath, J.
Mioduszewski, J. - Powiązania:
- https://bibliotekanauki.pl/articles/1214955.pdf
- Data publikacji:
- 1992
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Knaster continua
Ingram continua
2-to-1 map - Opis:
- 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.
- Źródło:
-
Fundamenta Mathematicae; 1992, 141, 3; 269-276
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł