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math.CA2022
Set of uniqueness for Cantorvals
Szymon Glab, Jacek Marchwicki
The main result is that the celebrated Guthrie-Nymann's Cantorval has comeager set of uniqueness. On the other hand many other Cantorvals have meager set of uniqueness.
math.CO2022
On -saturated closed graphs
Szymon Głab, Przemysław Gordinowicz
Geschke proved that there is clopen graph on which is 3-saturated, but the clopen graphs on do not even have infinite subgraphs that are 4-saturated; however there is $…