AN EXAMPLE FOR MAPPINGS RELATED TO CONFLUENCE


Pavel Pyrih


Address. Department of Mathematical Analysis, Charles University, Sokolovsk\'a 83, CZ-186\, 75 Prague, CZECH REPUBLIC

E-mail: pyrih@karlin.mff.cuni.cz

Abstract. 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.

AMSclassification. 54C10,54F15

Keywords. Confluent mapping, quasi-component, connected