Original scientific paper
The fixed point property for arc component preserving mappings of non-metric tree-like continua
I. Lončar
Abstract
The main purpose of this paper is to study the fixed point property of
non-metric tree-like continua. Using the inverse systems method, it is proved that if X is a non-metric tree-like continuum and if f:X→X is a mapping which sends each arc component into itself,
then f has the fixed point property.
Keywords
continuum; fixed point property; inverse system
Hrčak ID:
656
URI
Publication date:
23.6.2005.
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