Geodesic
Mappings related to confluence
Archivum mathematicum, Tome 32 (1996) no. 2, pp. 85-103

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Necessary and sufficient conditions are found in the paper for a mapping between continua to be monotone, confluent, semi-confluent, joining, weakly confluent and pseudo-confluent. Three lists of these conditions are presented. Two are formulated in terms of components and of quasi-components, respectively, of connected closed subsets of the range space, while the third one in terms of connectedness between subsets of the domain space. Some basic relations concerning these concepts are studied.
Classification : 54C10, 54F15
Keywords: confluent; connected; continuum; joining; mapping; monotone; pseudo-confluent; quasi-component; semi-confluent; weakly confluent 
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     author = {Charatonik, J. J.},
     title = {Mappings related to confluence},
     journal = {Archivum mathematicum},
     pages = {85--103},
     publisher = {mathdoc},
     volume = {32},
     number = {2},
     year = {1996},
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     zbl = {0902.54016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1996__32_2_a1/}
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Charatonik, J. J. Mappings related to confluence. Archivum mathematicum, Tome 32 (1996) no. 2, pp. 85-103. http://geodesic.mathdoc.fr/item/ARM_1996__32_2_a1/