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The lifting property for classes of mappings. (English) Zbl 0989.54015
Summary: The lifting property of continua for classes of mappings is defined. It is shown that the property is preserved under the inverse limit operation. The results, when applied to the class of confluent mappings, exhibit conditions under which the induced mapping between hyperspaces is confluent. This generalizes previous results in this topic.
MSC:
54B20 Hyperspaces in general topology
54E40 Special maps on metric spaces
54F15 Continua and generalizations
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