Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661087 | Topology and its Applications | 2007 | 11 Pages |
Abstract
The hyperspaces of hereditarily decomposable continua and of decomposable subcontinua without pseudoarcs in the cube of dimension greater than 2 are homeomorphic to the Hurewicz set of all nonempty countable closed subsets of the unit interval [0,1]. Moreover, in such a cube, all indecomposable subcontinua form a homotopy dense subset of the hyperspace of (nonempty) subcontinua.
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Mathematics
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