Concerning closed quasi-orders on hereditarily unicoherent 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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Let X be a Hausdorff continuum (a compact connected Hausdorff space). Let 2X (respectively, Cn(X)) denote the hyperspace of nonempty closed subsets of X (respectively, nonempty closed subsets of X with at most n components), with the Vietoris topology. We prove that if X is hereditarily indecomposable, Y is a Hausdorff continuum and 2X (respectively Cn(X)) is homeomorphic to 2Y (respectively, C...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1973
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-78-1-61-73