Atomic mappings on irreducible Hausdorff continua
Wiliam Mahavier (1970)
Fundamenta Mathematicae
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Wiliam Mahavier (1970)
Fundamenta Mathematicae
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Lee Mohler, Lex Oversteegen (1990)
Fundamenta Mathematicae
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A. Emeryk (1972)
Fundamenta Mathematicae
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J. Krasinkiewicz, Sam Nadler (1978)
Fundamenta Mathematicae
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Carl Eberhart, Sam Nadler, William Nowell (1981)
Fundamenta Mathematicae
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Eldon Vought (1973)
Fundamenta Mathematicae
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Hisao Kato (1990)
Fundamenta Mathematicae
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Hisao Kato (1993)
Fundamenta Mathematicae
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We investigate striped structures of stable and unstable sets of expansive homeomorphisms and continuum-wise expansive homeomorphisms. The following theorem is proved: if f : X → X is an expansive homeomorphism of a compact metric space X with dim X > 0, then the decompositions and of X into stable and unstable sets of f respectively are uncountable, and moreover there is σ (= s or u) and ϱ > 0 such that there is a Cantor set C in X with the property that for each x ∈ C, ...
H. Cook (1967)
Fundamenta Mathematicae
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Nell Stevenson (1972)
Fundamenta Mathematicae
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Jacek Nikiel (1984)
Fundamenta Mathematicae
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