On the independence of a generalized statement of Egoroff’s theorem from ZFC after T. Weiss.

Abstract

We consider a generalized version ($\mathsf{GES}$) of the well-known Severini-Egoroff theorem in real analysis, first shown to be undecidable in $\mathsf{ZFC}$ by Tomasz Weiss in [6]. This independence is easily derived from suitable hypotheses on some cardinal characteristics of the continuum like $\mathfrak{b}$ and ($\mathcal{N}$)