Compactifications and universal spaces in extension theory
Alex Chigogidze
Abstract
We show that for each countable simplicial complex P the following conditions are equivalent: (1) P ∈ AE(X) iff P ∈ AE(βX) for any space X; (2) There exists a P-invertible map of a metrizable compactum X with P ∈ AE(X) onto the Hilbert cube.
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