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An example for mappings related to semi-confluence. (English) Zbl 0946.54013

Summary: A semi-confluence of a mapping between topological spaces can be defined in several ways. J. J. Charatonik [Arch. Math., Brno 32, No. 2, 85-103 (1996; Zbl 0902.54016)] asked if two definitions of the semi-confluence, using components and quasi-components respectively, are equivalent for surjective mappings with compact point inverses. We give a negative answer to this question in Example 2.1.

MSC:

54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54F15 Continua and generalizations
54G20 Counterexamples in general topology

Citations:

Zbl 0902.54016
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