Abstract
We construct an absolute retract X of arbitrarily high Borel complexity such that the countable power X ω is not universal for the Borelian class A 1 of sigma-compact spaces, and the product X ω x ∑, where ∑ is the radial interior of the Hilbert cube, is not universal for the Borelian class A 2 of absolute G δσ-spaces.
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Banakh, T., Radyl, T. On universality of countable powers of absolute retracts. Ukr Math J 48, 598–600 (1996). https://doi.org/10.1007/BF02390618
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DOI: https://doi.org/10.1007/BF02390618