On the rim-types of hereditarily locally connected continua
E. Tymchatyn (1975)
Fundamenta Mathematicae
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Displaying similar documents to “Concerning hereditarily locally connected continua”
On the rim-types of hereditarily locally connected continua
Some classes of locally connected continua
T. Maćkowiak, E. D. Tymchatyn (1987)
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On partitions in cylinders over continua and a question of Krasinkiewicz
Mirosława Reńska (2011)
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We show that a metrizable continuum X is locally connected if and only if every partition in the cylinder over X between the bottom and the top of the cylinder contains a connected partition between these sets. J. Krasinkiewicz asked whether for every metrizable continuum X there exists a partiton L between the top and the bottom of the cylinder X × I such that L is a hereditarily indecomposable continuum. We answer this question in the negative. We also present a...
Hereditarily σ-connected continua
J. Grispolakis, E. D. Tymchatyn (1979)
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The hereditary classes of mappings
T. Maćkowiak (1977)
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A characterization of locally connectedness by means of the set function T
Donald Bennett (1974)
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Weight and metrizability of inverses under hereditarily irreducible mappings.
Lončar, Ivan (2008)
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A weakly chainable uniquely arcwise connected continuum without the fixed point property
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.
On open light mappings
Władysław Makuchowski (1994)
Commentationes Mathematicae Universitatis Carolinae
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Whyburn has proved that each open mapping defined on arc (a simple closed curve) is light. Charatonik and Omiljanowski have proved that each open mapping defined on a local dendrite is light. Theorem 3.8 is an extension of these results.
Confluent mappings and unicoherence of continua
Janusz Charatonik (1964)
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Continua determined by mappings.
Charatonik, Janusz J., Charatonik, Wlodzimierz J. (2000)
Publications de l'Institut Mathématique. Nouvelle Série
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Unicoherence in means
Philip Bacon (1970)
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