Abstract
It is known that the sets of approximately continuous functions that are discontinuous, of Darboux Baire 1 that are not approximately continuous, and of Baire 1 functions that are not Darboux Baire 1 are strongly \( \mathfrak{c} \)-algebrable. We show that between those classes of functions there are \( \mathfrak{c} \) many strongly \( \mathfrak{c} \)-algebrable sets.
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Lindner, S., Terepeta, M. Algebrability within the class of Baire 1 functions. Lith Math J 55, 393–401 (2015). https://doi.org/10.1007/s10986-015-9287-7
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DOI: https://doi.org/10.1007/s10986-015-9287-7