Displaying similar documents to “On admissible Whitney maps”

On Applications of Bing-Krasinkiewicz-Lelek Maps

Eiichi Matsuhashi (2007)

Bulletin of the Polish Academy of Sciences. Mathematics

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We characterize Peano continua using Bing-Krasinkiewicz-Lelek maps. Also we deal with some topics on Whitney preserving maps.

Finite-to-one maps and dimension

Jerzy Krzempek (2004)

Fundamenta Mathematicae

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It is shown that for every at most k-to-one closed continuous map f from a non-empty n-dimensional metric space X, there exists a closed continuous map g from a zero-dimensional metric space onto X such that the composition f∘g is an at most (n+k)-to-one map. This implies that f is a composition of n+k-1 simple ( = at most two-to-one) closed continuous maps. Stronger conclusions are obtained for maps from Anderson-Choquet spaces and ones that satisfy W. Hurewicz's condition (α). The...

Whitney maps-a non-metric case

Janusz Charatonik, Włodzimierz Charatonik (2000)

Colloquium Mathematicae

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It is shown that there is no Whitney map on the hyperspace 2 X for non-metrizable Hausdorff compact spaces X. Examples are presented of non-metrizable continua X which admit and ones which do not admit a Whitney map for C(X).