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.


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


Zbl 0902.54016
Full Text: EuDML EMIS