Geodesic
Universal spaces in the theory of transfinite dimension, I
Fundamenta Mathematicae, Tome 144 (1994) no. 3, pp. 243-258.

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R. Pol has shown that for every countable ordinal α, there exists a universal space for separable metrizable spaces X with ind X = α . We prove that for every countable limit ordinal λ, there is no universal space for separable metrizable spaces X with Ind X = λ. This implies that there is no universal space for compact metrizable spaces X with Ind X = λ. We also prove that there is no universal space for compact metrizable spaces X with ind X = λ.
DOI : 10.4064/fm-144-3-243-258

Wojciech Olszewski 1

1 
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Wojciech Olszewski. Universal spaces in the theory of transfinite dimension, I. Fundamenta Mathematicae, Tome 144 (1994) no. 3, pp. 243-258. doi : 10.4064/fm-144-3-243-258. http://geodesic.mathdoc.fr/articles/10.4064/fm-144-3-243-258/

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