On decompositions of hereditarily smooth continua
نویسندگان
چکیده
منابع مشابه
Kernels of Hereditarily Unicoherent Continua and Absolute Retracts
For a hereditarily unicoherent continuum X, its kernel means the common part of all subcontinua of X that intersect all arc components of X. This concept naturally appears when absolute retracts for the class of hereditarily unicoherent continua are studied. Let Y be such an absolute retract. Among other results, we prove that (a) Y is indecomposable if and only if it is identical with its kern...
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E. Dyer [2] proved that there is no continuous decomposition of a compact irreducible continuum into decomposable continua which is an arc with respect to its elements. The author extends Dyer's result to the plane. Consider a continuous decomposition of the plane into nonseparating compact continua. R. L. Moore [6] has shown that the decomposition space is homeomorphic to the plane. Using Moor...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1977
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-94-1-49-58