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.
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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     language = {en},
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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/

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