Abstract
It is shown that if 3 ≤ n ≤ ∞ then the set of all decomposable subcontinua of I n is an Fσ-absorber in the Hilbert cube C(I n). Therefore the hyperspace of all indecomposable continua in the cube of dimension greater than 2 is home-omorphic to the separable Hilbert space l 2. This answers a question from [3] by the author.
| Original language | English |
|---|---|
| Pages (from-to) | 89-91 |
| Number of pages | 3 |
| Journal | Boletin de la Sociedad Matematica Mexicana |
| Volume | 17 |
| Issue number | 1 |
| Publication status | Published - Apr 2011 |
Keywords
- Continuum
- Hilbert cube
- Hyperspace
- Indecomposable
- Separable Hilbert space
ASJC Scopus subject areas
- General Mathematics
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