Abstract
We introduce the notions of λ-Baire property and λ-semiopen set using sets of Lebesgue measure zero. For a family A of subsets of the real line, we define the (λ∗)-property analogously as it was done in the category case for the (∗)-property. The main result is that the family A of all subsets of the real line having the λ-Baire property has the (λ∗)-property iff A is situated between the Euclidean topology and the family of λ-semiopen sets.
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21 November 2022
A Correction to this paper has been published: https://doi.org/10.1007/s10986-022-09582-9
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Ivanova, G., Wagner-Bojakowska, E. A-continuity and measure. Lith Math J 61, 239–245 (2021). https://doi.org/10.1007/s10986-021-09514-z
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DOI: https://doi.org/10.1007/s10986-021-09514-z