Universal spaces in the theory of transfinite dimension, II
Olszewski, Wojciech
Fundamenta Mathematicae, Tome 144 (1994), p. 121-139 / Harvested from The Polish Digital Mathematics Library
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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 ω0, or, equivalently, of small transfinite dimension ω0; that is, the family consists of compact metrizable spaces whose transfinite dimension is ω0, and every compact metrizable space with transfinite dimension ω0 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.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:212038 
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     title = {Universal spaces in the theory of transfinite dimension, II},
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     year = {1994},
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     zbl = {0812.54042},
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Olszewski, Wojciech. Universal spaces in the theory of transfinite dimension, II. Fundamenta Mathematicae, Tome 144 (1994) pp. 121-139. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv145i2p121bwm/

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