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

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

2005-12-23

arxiv.org/abs/math/0512546v1

Mathematics

Logic

6 pages

Scientific paper

We consider a generalized version (GES) of the wellknown Severini-Egoroff
theorem in real analysis, first shown to be undecidable in ZFC by Tomasz Weiss.
This independence is easily derived from suitable hypotheses on some cardinal
characteristics of the continuum like b and o, the latter being the least
cardinality of a subset of [0,1] having full outer measure.

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