Compact covering mappings between Borel sets and the size of constructible reals
Authors:
Gabriel Debs and Jean Saint Raymond
Journal:
Trans. Amer. Math. Soc. 356 (2004), 73-117
MSC (2000):
Primary 03E15; Secondary 03E45, 54H05
DOI:
https://doi.org/10.1090/S0002-9947-03-03206-9
Published electronically:
August 25, 2003
MathSciNet review:
2020025
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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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Additional Information
Gabriel Debs
Affiliation:
Analyse Fonctionnelle, Institut de Mathématique de Jussieu, Boîte 186, 4, place Jussieu, 75252 Paris Cedex 05, France
MR Author ID:
55795
Email:
gad@ccr.jussieu.fr
Jean Saint Raymond
Affiliation:
Analyse Fonctionnelle, Institut de Mathématique de Jussieu, Boîte 186, 4, place Jussieu, 75252 Paris Cedex 05, France
Email:
jsr@ccr.jussieu.fr
Received by editor(s):
May 31, 2001
Published electronically:
August 25, 2003
Article copyright:
© Copyright 2003
American Mathematical Society
