On hereditarily decomposable hereditarily equivalent non-metric continua
Lee Mohler, Lex Oversteegen (1990)
Fundamenta Mathematicae
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Lee Mohler, Lex Oversteegen (1990)
Fundamenta Mathematicae
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Lončar, Ivan (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Alejandro Illanes (2011)
Publications de l'Institut Mathématique
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Nikiel, J., Treybig, L.B., Tuncali, H.M. (1997)
International Journal of Mathematics and Mathematical Sciences
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W. Dębski, J. Mioduszewski (1992)
Colloquium Mathematicae
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The present paper deals with those continuous maps from compacta into metric spaces which assume each value at most twice. Such maps are called here, after Borsuk and Molski (1958) and as in our previous paper (1990), simple. We investigate the possibility of decomposing a simple map into essential and elementary factors, and the so-called splitting property of simple maps which raise dimension. The aim is to get insight into the structure of those compacta which have the property that...
Carl Eberhart, Sam Nadler, William Nowell (1981)
Fundamenta Mathematicae
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A. Emeryk (1972)
Fundamenta Mathematicae
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Janusz J. Charatonik (2003)
Extracta Mathematicae
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Wiliam Mahavier (1970)
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, ...
Jack Goodykoontz, Sam Nadler (1984)
Fundamenta Mathematicae
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