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 
@article{10_4064_cm_75_2_195_203,
     author = {Janusz Charatonik and W{\l}odzimierz Charatonik},
     title = {Hereditarily weakly confluent induced mappings are homeomorphisms},
     journal = {Colloquium Mathematicum},
     pages = {195--203},
     publisher = {mathdoc},
     volume = {75},
     number = {2},
     year = {1998},
     doi = {10.4064/cm-75-2-195-203},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-75-2-195-203/}
}
TY  - JOUR
AU  - Janusz Charatonik
AU  - Włodzimierz Charatonik
TI  - Hereditarily weakly confluent induced mappings are homeomorphisms
JO  - Colloquium Mathematicum
PY  - 1998
SP  - 195
EP  - 203
VL  - 75
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm-75-2-195-203/
DO  - 10.4064/cm-75-2-195-203
LA  - en
ID  - 10_4064_cm_75_2_195_203
ER  - 
%0 Journal Article
%A Janusz Charatonik
%A Włodzimierz Charatonik
%T Hereditarily weakly confluent induced mappings are homeomorphisms
%J Colloquium Mathematicum
%D 1998
%P 195-203
%V 75
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm-75-2-195-203/
%R 10.4064/cm-75-2-195-203
%G en
%F 10_4064_cm_75_2_195_203
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. http://geodesic.mathdoc.fr/articles/10.4064/cm-75-2-195-203/

Cité par Sources :