Transactions of the American Mathematical Society

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

Author(s): Gabriel Debs; Jean Saint Raymond
Journal: Trans. Amer. Math. Soc. 356 (2004), 73-117.
MSC (2000): Primary 03E15; Secondary 03E45, 54H05
Posted: August 25, 2003
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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: $\lq\lq \,\forall\alpha\in \omega^\omega,\; \aleph_1^{L(\alpha)}<\aleph_1$ ".

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Gabriel Debs
Affiliation: Analyse Fonctionnelle, Institut de Mathématique de Jussieu, Bo{î}te 186, 4, place Jussieu, 75252 Paris Cedex 05, France
Email: gad@ccr.jussieu.fr

Jean Saint Raymond
Affiliation: Analyse Fonctionnelle, Institut de Mathématique de Jussieu, Bo{î}te 186, 4, place Jussieu, 75252 Paris Cedex 05, France
Email: jsr@ccr.jussieu.fr

DOI: 10.1090/S0002-9947-03-03206-9
PII: S 0002-9947(03)03206-9
Received by editor(s): May 31, 2001
Posted: August 25, 2003
Copyright of article: Copyright 2003, American Mathematical Society

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ISSN 1088-6850(e) ISSN 0002-9947(p)

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