Continua and their open subsets with connected complements
J. Krasinkiewicz, Piotr Minc (1979)
Fundamenta Mathematicae
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J. Krasinkiewicz, Piotr Minc (1979)
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A. Emeryk, A. Szymański (1977)
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J. Carruth (1970)
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W. Kuperberg, A. Lelek (1976)
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E. D. Tymchatyn (1972)
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Janusz Charatonik (1964)
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Charatonik, Janusz J., Spyrou, Panayotis (1994)
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Mirosław Sobolewski (2015)
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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.
J. Cornette, J. Girolo (1967)
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Hisao Kato (1988)
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Charatonik, Janusz J., Illanes, Alejandro (2002)
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Donald Bennett (1974)
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Lee Mohler (1984)
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