On subsets of indecomposable continua

H. Cook

Displaying similar documents to “On subsets of indecomposable continua”

A note on acyclic continua

Raymond E. Smithson (1968)

Colloquium Mathematicae

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On a class of indecomposable continua

J. Krasinkiewicz (1974)

Colloquium Mathematicae

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An Exactly Two-to-One Map from an Indecomposable Chainable Continuum

Jerzy Krzempek (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

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It is shown that a certain indecomposable chainable continuum is the domain of an exactly two-to-one continuous map. This answers a question of Jo W. Heath.

A decomposition theorem for a class of continua for which the set function T is continuous

Sergio Macías (2007)

Colloquium Mathematicae

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We prove a decomposition theorem for a class of continua for which F. B.. Jones's set function 𝓣 is continuous. This gives a partial answer to a question of D. Bellamy.

On composants of Hausdorff continua

M. Proffitt (1971)

Fundamenta Mathematicae

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1/2-Homogeneous hyperspace suspensions

Sergio Macías, Patricia Pellicer-Covarrubias (2012)

Colloquium Mathematicae

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We continue the study of 1/2-homogeneity of the hyperspace suspension of continua. We prove that if X is a decomposable continuum and its hyperspace suspension is 1/2-homogeneous, then X must be continuum chainable. We also characterize 1/2-homogeneity of the hyperspace suspension for several classes of continua, including: continua containing a free arc, atriodic and decomposable continua, and decomposable irreducible continua about a finite set.

Irreducibility of inverse limits on intervals

David Ryden (2000)

Fundamenta Mathematicae

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A procedure for obtaining points of irreducibility for an inverse limit on intervals is developed. In connection with this, the following are included. A semiatriodic continuum is defined to be a continuum that contains no triod with interior. Characterizations of semiatriodic and unicoherent continua are given, as well as necessary and sufficient conditions for a subcontinuum of a semiatriodic and unicoherent continuum M to lie within the interior of a proper subcontinuum of M. ...