| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 390091 | Fuzzy Sets and Systems | 2011 | 7 Pages |
Abstract
We prove that the space of fuzzy compacta in a Peano continuum is homeomorphic to the Hilbert space ℓ2. As a corollary we find that the spaces of fuzzy compacta in Rn and ℓ2 are also homeomorphic to Hilbert space.
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