J. J. Charatonik
A mapping is said to be confluent over locally connected continua if for each locally connected subcontinuum $Q$ of the range each component
of its preimage is mapped onto $Q$. For mappings of compact spaces this class is a very natural generalization of locally confluent mappings.
Various properties of these mappings are systematically studied in the paper.
Confluent, continuum, locally connected, mapping.
MSC 2000: 54C10, 54D05, 54E40, 54F15, 54F50