Geodesic
Cantor manifolds in the theory of transfinite dimension
Fundamenta Mathematicae, Tome 145 (1994) no. 1, pp. 39-64 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $Z_α$ such that $ind Z_α = α$, and no closed subset L of $Z_α$ with ind L less than the predecessor of α is a partition in $Z_α$. An α-dimensional Cantor Ind-manifold can be constructed similarly.
DOI : 10.4064/fm-145-1-39-64

Wojciech Olszewski 1

1 
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Wojciech  Olszewski. Cantor manifolds in the theory of transfinite dimension. Fundamenta Mathematicae, Tome 145 (1994) no. 1, pp. 39-64. doi: 10.4064/fm-145-1-39-64

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