On continua having three types of open subsets

Witold Bula

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Displaying similar documents to “On continua having three types of open subsets”

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.

On Cosserat continua

S. Drobot (1971)

Applicationes Mathematicae

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Terminal continua and the homogeneity

T. Maćkowiak (1987)

Fundamenta Mathematicae

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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.

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.

On composants of Hausdorff continua

M. Proffitt (1971)

Fundamenta Mathematicae

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Continuous mappings on continua II

T. Maćkowiak, E. D. Tymchatyn

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CONTENTSIntroduction......................................................................................51. General notion of aposyndesis....................................................62. Relation T for special families......................................................83. Properties of T.............................................................................94. T-aposyndesis in homogeneous continua..................................115. Colocal connectedness and T-aposyndesis...............................136....

A characterization of hereditarily decomposable snake-like continua

L. Mohler (1973)

Colloquium Mathematicae

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Expansive collections of continua

Donald E. Bennett (1978)

Commentationes Mathematicae Universitatis Carolinae

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On the depth of a continuum

P. Spyrou (1992)

Matematički Vesnik

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On a class of indecomposable continua

J. Krasinkiewicz (1974)

Colloquium Mathematicae

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On finitely equivalent continua.

Charatonik, Janusz J. (2003)

International Journal of Mathematics and Mathematical Sciences

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Non-metric rim-metrizable continua and unique hyperspace.

Lončar, Ivan (2003)

Publications de l'Institut Mathématique. Nouvelle Série

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Non-metric rim-metrizable continua and unique hyperspace.

Lončar, Ivan (2003)

Publications de l'Institut Mathématique. Nouvelle Série

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Continua and their non-separating subcontinua

D. E. Bennett, J. B. Fugate

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CONTENTSIntroduction......................................................................................................................................... 5Preliminaries...................................................................................................................................... 6Chapter I. Basic types and properties of non-separating continua......................................... 7 Terminal and end continua............................................................................................................