Abstract
This paper continues the investigation started in Anisca and Chlebovec (Nonlinearity 22:2127–2140, 2009). We exhibit conditions which imply that the topological structure of the arithmetic sum of two Cantor sets associated with series is either: a Cantor set, a finite union of closed intervals, or three mixed Cantorvals (R, L and M-Cantorval). Our main results extend and generalize a recent result of Pourbarat regarding sums of homogeneous Cantor sets.
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Anisca, R., Ilie, M. On the Structure of Arithmetic Sums of Cantor Sets Associated with Series. Results Math 78, 5 (2023). https://doi.org/10.1007/s00025-022-01779-1
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DOI: https://doi.org/10.1007/s00025-022-01779-1