On lifting properties for confluent mappings

Charatonik, Janusz; Prajs, Janusz

doi:10.1090/S0002-9939-04-07537-9

On lifting properties for confluent mappings
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by Janusz J. Charatonik and Janusz R. Prajs

Proc. Amer. Math. Soc. 133 (2005), 577-585

DOI: https://doi.org/10.1090/S0002-9939-04-07537-9

Published electronically: 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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