On local 1-connectedness of Whitney continua
نویسندگان
چکیده
منابع مشابه
Connectedness Properties of Whitney Levels
It is shown that δ-connectedness is not a Whitney reversible property. This answers in the negative a question posed by Sam B. Nadler, Jr. in 1978. A topological property P is said to be: (a) a Whitney property provided that if a continuum X has property P, so does μ−1(t) for each Whitney map μ for C(X) and each t ∈ [0, μ(X)) ([6, p. 165]); (b) a Whitney reversible property provided that whenev...
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Let X be a non-metric continuum, and C(X) the hyperspace of subcontinua of X. It is known that there is no Whitney map on the hyperspace 2 for non-metrizable Hausdorff compact spaces X. On the other hand, there exist non-metrizable continua which admit and the ones which do not admit a Whitney map for C(X). In this paper we investigate the properties of non-metrizable continua which admit a Whi...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1988
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-131-3-245-253