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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James Davis, W. Ingram (1988)
Fundamenta Mathematicae
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Acosta, Gerardo, Charatonik, Janusz J. (2004)
Mathematica Pannonica
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George W. Henderson (1971)
Colloquium Mathematicae
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J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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Charatonik, Janusz J., Pyrih, Pavel (2000)
Mathematica Pannonica
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S. Drobot (1971)
Applicationes Mathematicae
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Janusz Jerzy Charatonik (1993)
Mathematica Bohemica
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A concept of an absolute end point introduced and studied by Ira Rosenholtz for arc-like continua is extended in the paper to be applied arbitrary irreducible continua. Some interrelations are studied between end points, absolute end points and points at which a given irreducible continuum is smooth.
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.
J. Grispolakis, E. D. Tymchatyn (1979)
Colloquium Mathematicae
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Janusz J. Charatonik, Włodzimierz J. Charatonik, Janusz R. Prajs (2003)
Colloquium Mathematicae
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We investigate absolute retracts for hereditarily unicoherent continua, and also the continua that have the arc property of Kelley (i.e., the continua that satisfy both the property of Kelley and the arc approximation property). Among other results we prove that each absolute retract for hereditarily unicoherent continua (for tree-like continua, for λ-dendroids, for dendroids) has the arc property of Kelley.
Lončar, Ivan (2008)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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