Arbault permitted sets are perfectly meager

Year, pages: 2005, 135 - 148

We prove that every set permitted for the family of Arbault sets is perfectly meager. This negatively answers the question whether the existence of permitted sets of cardinality continuum is provable in ZFC.

Eliáš, J. 2005. Arbault permitted sets are perfectly meager. In Tatra Mountains Mathematical Publications, vol. 30, no.1, pp. 135-148. 1210-3195.

Eliáš, J. (2005). Arbault permitted sets are perfectly meager. Tatra Mountains Mathematical Publications, 30(1), 135-148. 1210-3195.