Geodesic
Universal spaces in the theory of transfinite dimension, II
Fundamenta Mathematicae, Tome 145 (1994) no. 2, pp. 121-139.

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We construct a family of spaces with "nice" structure which is universal in the class of all compact metrizable spaces of large transfinite dimension $ω_0$, or, equivalently, of small transfinite dimension $ω_0$; that is, the family consists of compact metrizable spaces whose transfinite dimension is $ω_0$, and every compact metrizable space with transfinite dimension $ω_0$ is embeddable in a space of the family. We show that the least possible cardinality of such a universal family is equal to the least possible cardinality of a dominating sequence of irrational numbers.
DOI : 10.4064/fm-145-2-121-139

Wojciech Olszewski 1

1 
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Wojciech Olszewski. Universal spaces in the theory of transfinite dimension, II. Fundamenta Mathematicae, Tome 145 (1994) no. 2, pp. 121-139. doi : 10.4064/fm-145-2-121-139. http://geodesic.mathdoc.fr/articles/10.4064/fm-145-2-121-139/

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