Hereditarily weakly confluent induced mappings are homeomorphisms
Charatonik, Janusz ; Charatonik, Włodzimierz
Colloquium Mathematicae, Tome 78 (1998), p. 195-203 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:210538 
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     title = {Hereditarily weakly confluent induced mappings are homeomorphisms},
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     volume = {78},
     year = {1998},
     pages = {195-203},
     zbl = {0890.54033},
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Charatonik, Janusz; Charatonik, Włodzimierz. Hereditarily weakly confluent induced mappings are homeomorphisms. Colloquium Mathematicae, Tome 78 (1998) pp. 195-203. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv75z2p195bwm/

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