Characterization of finite-dimensional 𝑍-sets

Kroonenberg, Nelly

doi:10.1090/S0002-9939-1974-0334221-8

Characterization of finite-dimensional $Z$-sets
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by Nelly Kroonenberg

Proc. Amer. Math. Soc. 43 (1974), 421-427

DOI: https://doi.org/10.1090/S0002-9939-1974-0334221-8

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Abstract:

It is proved that closed finite-dimensional subsets of $Q$ and ${l_2}$ are $Z$-sets iff their complement is $1$-ULC. As a corollary, closed finite-dimensional sets of deficiency 1 are shown to be $Z$-sets.

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