Title of article
The hyperspace of hereditarily decomposable subcontinua of a cube is the Hurewicz set
Author/Authors
Samulewicz، نويسنده , , Alicja، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2007
Pages
11
From page
985
To page
995
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.
Keywords
Absorber , Hilbert cube , Continuum , Hereditarily decomposable , Pseudoarc , Analytic set , Hurewicz set , Hyperspace
Journal title
Topology and its Applications
Serial Year
2007
Journal title
Topology and its Applications
Record number
1581203
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