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Article

Charatonik, J. J.
Mappings related to confluence. (English). Archivum Mathematicum, vol. 32 (1996), issue 2, pp. 85-103
MSC: 54C10, 54F15 | MR 1407341 | Zbl 0902.54016
Keywords:
confluent; connected; continuum; joining; mapping; monotone; pseudo-confluent; quasi-component; semi-confluent; weakly confluent
Summary:
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.
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