Sigma-continuity with closed witnesses

Benjamin D. Miller; Rapha\"el Carroy

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Sigma-continuity with closed witnesses

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arxiv 2002.09984 v1 pith:C6TDQTWP submitted 2020-02-23 math.LO math.GN

Sigma-continuity with closed witnesses

Rapha\"el Carroy , Benjamin D. Miller This is my paper

classification math.LO math.GN

keywords closedwitnessesbaire-classbasiscontinuousdichotomyestablishfamily

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We use variants of the $\mathbb{G}_0$ dichotomy to establish a refinement of Solecki's basis theorem for the family of Baire-class one functions which are not $\sigma$-continuous with closed witnesses.

Sigma-continuity with closed witnesses

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