- Tytuł:
- Hereditarily weakly confluent induced mappings are homeomorphisms
- Autorzy:
-
Charatonik, Janusz
Charatonik, Włodzimierz - Powiązania:
- https://bibliotekanauki.pl/articles/966016.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
atriodic
semi-confluent
hereditary
confluent
atomic
homeomorphism
cone
weakly confluent
monotone
hyperspace
joining
continuum - Opis:
- For a given mapping f between continua we consider the induced mappings between the corresponding hyperspaces of closed subsets or of subcontinua. It is shown that if either of the two induced mappings is hereditarily weakly confluent (or hereditarily confluent, or hereditarily monotone, or atomic), then f is a homeomorphism, and consequently so are both the induced mappings. Similar results are obtained for mappings between cones over the domain and over the range continua.
- Źródło:
-
Colloquium Mathematicum; 1998, 75, 2; 195-203
0010-1354 - Pojawia się w:
- Colloquium Mathematicum
- Dostawca treści:
- Biblioteka Nauki
Artykuł