Two invariants under continuity and the incomparability of fans
Janusz Charatonik (1964)
Fundamenta Mathematicae
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Displaying similar documents to “Mapping arcwise connected continua onto cyclic continua”
Two invariants under continuity and the incomparability of fans
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A weakly chainable uniquely arcwise connected continuum without the fixed point property
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A continuum is a metric compact connected space. A continuum is chainable if it is an inverse limit of arcs. A continuum is weakly chainable if it is a continuous image of a chainable continuum. A space X is uniquely arcwise connected if any two points in X are the endpoints of a unique arc in X. D. P. Bellamy asked whether if X is a weakly chainable uniquely arcwise connected continuum then every mapping f: X → X has a fixed point. We give a counterexample.
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