1 results
Zero-dimensional metrizable CDH space X such that
$X^2$ is not CDH
- Part of
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- Journal:
- Canadian Mathematical Bulletin , First View
- Published online by Cambridge University Press:
- 22 January 2025, pp. 1-4
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- Article
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In this article, a construction of a metrizable zero-dimensional CDH space X such that
$X^2$ has exactly 
$\mathfrak {c}$ many types of countable dense subsets is provided. Furthermore, it is shown that the space can be constructed consistently co-analytic. Thus answering an open question asked by Medini. To do so we use the notion of a 
$\lambda $-set.
