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On lifting properties for confluent mappings
Author(s):
Janusz
J.
Charatonik;
Janusz
R.
Prajs
Journal:
Proc. Amer. Math. Soc.
133
(2005),
577-585.
MSC (2000):
Primary 54C25, 54E40, 54F15, 54F50
Posted:
August 25, 2004
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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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Additional Information:
Janusz
J.
Charatonik
Affiliation:
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
Email:
jjc@math.unam.mx
Janusz
R.
Prajs
Affiliation:
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
Email:
prajs@csus.edu
DOI:
10.1090/S0002-9939-04-07537-9
PII:
S 0002-9939(04)07537-9
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
Posted:
August 25, 2004
Communicated by:
Alan Dow
Copyright of article:
Copyright
2004,
American Mathematical Society
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