Compactifications and universal spaces in extension theory

Mathematics – General Topology

Scientific paper

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Scientific paper

We show that for each countable simplicial complex P the following conditions
are equivalent: (1) $P \in AE(X)$ iff $P \in AE(\beta X)$ for any space X; (2)
There exists a P-invertible map of a metrizable compactum X with $P \in AE(X)$
onto the Hilbert cube.

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