On finitely equivalent continua.
Charatonik, Janusz J. (2003)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Arc property of Kelley and absolute retracts for hereditarily unicoherent continua”
On finitely equivalent continua.
Exactly two-to-one maps from continua onto some tree-like continua
Wojciech Dębski, J. Heath, J. Mioduszewski (1992)
Fundamenta Mathematicae
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It is known that no dendrite (Gottschalk 1947) and no hereditarily indecomposable tree-like continuum (J. Heath 1991) can be the image of a continuum under an exactly 2-to-1 (continuous) map. This paper enlarges the class of tree-like continua satisfying this property, namely to include those tree-like continua whose nondegenerate proper subcontinua are arcs. This includes all Knaster continua and Ingram continua. The conjecture that all tree-like continua have this property, stated...
On the hyperspaces of hereditarily indecomposable continua
J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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Tree-likeness of hereditarily equivalent continua
H. Cook (1970)
Fundamenta Mathematicae
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Continua with the periodic-recurrent property.
Acosta, Gerardo, Charatonik, Janusz J. (2004)
Mathematica Pannonica
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Clumps of continua
H. Cook (1974)
Fundamenta Mathematicae
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An atriodic tree-like continuum with positive span which admits a monotone mapping to a chainable continuum
James Davis, W. Ingram (1988)
Fundamenta Mathematicae
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An atriodic tree-like continuum with positive span
W. Ingram (1972)
Fundamenta Mathematicae
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Limiting subcontinua and Whitney maps of tree-like continua
Hisao Kato (1988)
Compositio Mathematica
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Approximating continua from within
C. Eberhart, J. Fugate (1971)
Fundamenta Mathematicae
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On Cosserat continua
S. Drobot (1971)
Applicationes Mathematicae
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Continua which cannot be mapped onto any nonplaner circle-like continuum
George W. Henderson (1971)
Colloquium Mathematicae
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Continua which admit no mean
K. Kawamura, E. Tymchatyn (1996)
Colloquium Mathematicae
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A symmetric, idempotent, continuous binary operation on a space is called a mean. In this paper, we provide a criterion for the non-existence of mean on a certain class of continua which includes tree-like continua. This generalizes a result of Bell and Watson. We also prove that any hereditarily indecomposable circle-like continuum admits no mean.