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An example for mappings related to confluence
Archivum mathematicum, Tome 35 (1999) no. 2, pp. 145-149 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
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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/

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[3] Steen, L. A., Seebach, J. A. Jr.: Counterexamples in topology. Springer-Verlag, New-York, 1978, pp. . | MR