2 problems

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Cut characterization conjecture for achievement sets of type $M\times M$
Let $M$ denote an M-Cantorval, and say that an achievement set is of type $M\times M$ when it is a finite union of sets homeomorphic to $M\times M$ . A cut of a set is understood in…
Conjectureopenachievement-sets planar-sets topologyarXiv posted 2 days ago
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Positive answer conjecture for a family of planar achievement sets
An achievement set in the plane is a set of the form … where the vector series is absolutely convergent. The source refers to a particular family of such planar achievement sets an…
Conjectureopenachievement-sets planar-sets topologyarXiv posted 2 days ago

Cut characterization conjecture for achievement sets of type M×MM\times MM×M