Cantor manifolds in the theory of transfinite dimension
Olszewski, Wojciech
Fundamenta Mathematicae, Tome 144 (1994), p. 39-64 / Harvested from The Polish Digital Mathematics Library
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For every countable non-limit ordinal α we construct an α-dimensional Cantor ind-manifold, i.e., a compact metrizable space Zα such that indZα=α, and no closed subset L of Zα with ind L less than the predecessor of α is a partition in Zα. An α-dimensional Cantor Ind-manifold can be constructed similarly.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:212033 
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Olszewski, Wojciech. Cantor manifolds in the theory of transfinite dimension. Fundamenta Mathematicae, Tome 144 (1994) pp. 39-64. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv145i1p39bwm/

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