On subsets of indecomposable continua
H. Cook (1964)
Colloquium Mathematicae
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H. Cook (1964)
Colloquium Mathematicae
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L. Mohler (1970)
Colloquium Mathematicae
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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.
H. Cook (1968)
Colloquium Mathematicae
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S. Drobot (1971)
Applicationes Mathematicae
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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.
Charatonik, Janusz J. (2003)
International Journal of Mathematics and Mathematical Sciences
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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.
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............................................................................................................
J. Krasinkiewicz, Sam Nadler (1978)
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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Hisao Kato (1988)
Compositio Mathematica
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M. Proffitt (1971)
Fundamenta Mathematicae
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D. Daniel, C. Islas, R. Leonel, E. D. Tymchatyn (2015)
Colloquium Mathematicae
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We revisit an old question of Knaster by demonstrating that each non-degenerate plane hereditarily unicoherent continuum X contains a proper, non-degenerate subcontinuum which does not separate X.
J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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