A characterization of hereditarily decomposable snake-like continua
L. Mohler (1973)
Colloquium Mathematicae
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A characterization of hereditarily decomposable snake-like 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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Colloquium Mathematicae
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We show that there exists a C*-smooth continuum X such that for every continuum Y the induced map C(f) is not open, where f: X × Y → X is the projection. This answers a question of Charatonik (2000).