The breadth of constructibility degrees and definable Sierpiński’s coverings
Tom 273 / 2026
Fundamenta Mathematicae 273 (2026), 199-215
MSC: Primary 03E15; Secondary 03E45
DOI: 10.4064/fm240819-27-11
Opublikowany online: 20 May 2026
Streszczenie
Generalizing a result of Törnquist and Weiss, we study the connection between the existence of $ \varSigma _2^1 $ Sierpiński’s coverings of $\mathbb R ^n$, and a cardinal invariant of the upper semi-lattice of constructibility degrees known as breadth.