Un exemple d'ensembles absorbants non équivalents

Volume 140 / 1991

Robert Cauty Fundamenta Mathematicae 140 (1991), 49-61 DOI: 10.4064/fm-140-1-49-61


We give an example in the Hilbert space $ℓ^2$ of two subsets which are absorbing for the class of topologically complete spaces, but for which there exists no homeomorphism of $ℓ^2$ onto itself mapping one of these subsets onto the other.


  • Robert Cauty

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