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

Roberto Pinciroli

math.LOarXiv:math/0512546

Abstract

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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