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Dendrites and light open mappings |
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| Authors: | Janusz J. Charatonik Wlodzimierz J. Charatonik Pawel Krupski |
| Affiliation: | Mathematical Institute, University of Wroclaw, pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland - Instituto de Matemáticas, UNAM, Circuito Exterior, Ciudad Universitaria, 04510 México, D. F., México ; Mathematical Institute, University of Wroclaw, pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland - Departamento de Matemáticas, Facultad de Ciencias, UNAM, Circuito Exterior, Ciudad Universitaria, 04510 México, D. F., México ; Mathematical Institute, University of Wroclaw, pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland |
| Abstract: | It is shown that a metric continuum  is a dendrite if and only if for every compact space  and for every light open mapping  such that  there is a copy  of  in  for which the restriction  is a homeomorphism. Another characterization of dendrites in terms of continuous selections of multivalued functions is also obtained. |
| Keywords: | Continuum dendrite light mapping multifunction open selection |
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