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On lifting properties for confluent mappings |
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| Authors: | Janusz J Charatonik Janusz R Prajs |
| Institution: | Instituto de Matemáticas, UNAM, Circuito Exterior, Ciudad Universitaria, 04510 México, D.F., México -- \text{and} -- Mathematical Institute, University of Wroclaw, pl. Grunwaldzki 2/4, 50384, Wroclaw, Poland ; Department of Mathematics and Statistics, California State University Sacramento, Sacramento, California 95819-6051 -- \text{and} -- Institute of Mathematics, University of Opole, ul. Oleska 48, 45-052 Opole, Poland |
| Abstract: | Known results about lifting of paths for covering, light open and light confluent mappings are in some sense extended for all confluent mappings with the domain being a continuum having the arc property of Kelley. As an application we prove that each confluently tree-like continuum has the fixed point property. |
| Keywords: | Arc property of Kelley confluent mapping continuum lifting locally connected tree-like |
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