Cantor manifolds in the theory of transfinite dimension
نویسنده
چکیده
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 indL less than the predecessor of α is a partition in Zα. An α-dimensional Cantor Ind-manifold can be constructed similarly.
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تاریخ انتشار 2007