Compact covering mappings between Borel sets and the size of constructible reals

Debs, Gabriel; Raymond, Jean

doi:10.1090/S0002-9947-03-03206-9

Compact covering mappings between Borel sets and the size of constructible reals
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by Gabriel Debs and Jean Saint Raymond PDF

Trans. Amer. Math. Soc. 356 (2004), 73-117 Request permission

Abstract:

We prove that the topological statement: “Any compact covering mapping between two Borel sets is inductively perfect" is equivalent to the set-theoretical statement: $“ \forall \alpha \in \omega ^\omega ,\; \aleph _1^{L(\alpha )}<\aleph _1$".

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