Geodesic
Hereditarily weakly confluent induced mappings are homeomorphisms
Colloquium Mathematicum, Tome 75 (1998) no. 2, pp. 195-203

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

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.
DOI : 10.4064/cm-75-2-195-203
Keywords: atriodic, semi-confluent, hereditary, confluent, atomic, homeomorphism, cone, weakly confluent, monotone, hyperspace, joining, continuum

Janusz Charatonik 1 ; Włodzimierz Charatonik 1

1 
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Janusz Charatonik; Włodzimierz Charatonik. Hereditarily weakly confluent induced mappings are homeomorphisms. Colloquium Mathematicum, Tome 75 (1998) no. 2, pp. 195-203. doi: 10.4064/cm-75-2-195-203

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