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.
@article{107564,
author = {Janusz Jerzy Charatonik},
title = {Mappings related to confluence},
journal = {Archivum Mathematicum},
volume = {032},
year = {1996},
pages = {85-103},
zbl = {0902.54016},
mrnumber = {1407341},
language = {en},
url = {http://dml.mathdoc.fr/item/107564}
}
Charatonik, Janusz Jerzy. Mappings related to confluence. Archivum Mathematicum, Tome 032 (1996) pp. 85-103. http://gdmltest.u-ga.fr/item/107564/
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