Compact covering mappings between Borel sets and the size of constructible reals-Reference-Cited by-同舟云学术

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

Published:2003-08-25 Issue:1 Volume:356 Page:73-117
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Debs Gabriel,Raymond Jean

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: “ ∀ α ∈ ω ω , ℵ 1 L ( α ) > ℵ 1 “\,\forall \alpha \in \omega ^\omega ,\; \aleph _1^{L(\alpha )}>\aleph _1 ".

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2004-356-01/S0002-9947-03-03206-9/S0002-9947-03-03206-9.pdf

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4. Compact covering mappings and cofinal families of compact subsets of a Borel set;Debs, G.;Fund. Math.,2001

5. Applications semi-propres sur un espace borélien;Debs, Gabriel;C. R. Acad. Sci. Paris S\'{e}r. I Math.,2001

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