Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



On lifting properties for confluent mappings

Authors: Janusz J. Charatonik and Janusz R. Prajs
Journal: Proc. Amer. Math. Soc. 133 (2005), 577-585
MSC (2000): Primary 54C25, 54E40, 54F15, 54F50
Published electronically: August 25, 2004
MathSciNet review: 2093082
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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.

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Janusz J. Charatonik
Affiliation: Instituto de Matemáticas, UNAM, Circuito Exterior, Ciudad Universitaria, 04510 México, D.F., México – and – Mathematical Institute, University of Wrocław, pl. Grunwaldzki 2/4, 50384, Wrocław, Poland

Janusz R. Prajs
Affiliation: Department of Mathematics and Statistics, California State University Sacramento, Sacramento, California 95819-6051 – and – Institute of Mathematics, University of Opole, ul. Oleska 48, 45-052 Opole, Poland

Keywords: Arc property of Kelley, confluent mapping, continuum, lifting, locally connected, tree-like
Received by editor(s): July 9, 2001
Received by editor(s) in revised form: January 15, 2003
Published electronically: August 25, 2004
Communicated by: Alan Dow
Article copyright: © Copyright 2004 American Mathematical Society