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The fixed point property for arc component preserving mappings of non-metric tree-like continua (CROSBI ID 184293)
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Lončar, Ivan
The fixed point property for arc component preserving mappings of non-metric tree-like continua // Mathematical communications, 10 (2005), 15-21
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Lončar, Ivan
engleski
The fixed point property for arc component preserving mappings of non-metric tree-like continua
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.
Continuum; fixed point property; inverse system
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