## 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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