Cantor manifolds in the theory of transfinite dimension
Wojciech Olszewski (1994)
Fundamenta Mathematicae
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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 such that , and no closed subset L of with ind L less than the predecessor of α is a partition in . An α-dimensional Cantor Ind-manifold can be constructed similarly.