On subsets of indecomposable continua
H. Cook (1964)
Colloquium Mathematicae
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Displaying similar documents to “A note on acyclic continua”
On subsets of indecomposable continua
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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.
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Continua and their non-separating subcontinua
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CONTENTSIntroduction......................................................................................................................................... 5Preliminaries...................................................................................................................................... 6Chapter I. Basic types and properties of non-separating continua......................................... 7 Terminal and end continua............................................................................................................
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Non-separating subcontinua of planar continua
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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.
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J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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