An example for mappings related to confluence
Archivum mathematicum, Tome 35 (1999) no. 2, pp. 145-149
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Confluence of a mapping between topological spaces can be defined by several ways. J.J. Charatonik asked if two definitions of the confluence using the components and quasi-components are equivalent for surjective mappings with compact point inverses. We give the negative answer to this question in Example 2.1.
Classification :
54C10, 54D05, 54F15, 54G20
Keywords: confluent mapping; quasi-component; connected
Keywords: confluent mapping; quasi-component; connected
@article{ARM_1999__35_2_a5,
author = {Pyrih, Pavel},
title = {An example for mappings related to confluence},
journal = {Archivum mathematicum},
pages = {145--149},
publisher = {mathdoc},
volume = {35},
number = {2},
year = {1999},
mrnumber = {1711736},
zbl = {1049.54502},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_1999__35_2_a5/}
}
Pyrih, Pavel. An example for mappings related to confluence. Archivum mathematicum, Tome 35 (1999) no. 2, pp. 145-149. http://geodesic.mathdoc.fr/item/ARM_1999__35_2_a5/