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On Baire isomorphisms of non-metrizable compacta. (English) Zbl 0587.54030

The author proves a factorization theorem for Baire mappings of limits of inverse spectra of compact spaces. He then applies this result to prove that: (i) first-level Baire isomorphic compacta have the same dimension, (ii) for \(\kappa >2^{\omega}\) the Cantor cube \(2^{\kappa^+}\) is not Baire isomorphic to its own hyperspace.
Reviewer: K.P.Hart

MSC:

54C50 Topology of special sets defined by functions
54B35 Spectra in general topology
54F45 Dimension theory in general topology
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