Geodesic
Borel–Wadge degrees
Alessandro Andretta 1   ; Donald A. Martin 2
1 Dipartimento di Matematica Università di Torino via Carlo Alberto 10 10123 Torino, Italy
2 Department of Mathematics University of California at Los Angeles Los Angeles, CA 90095-1555, U.S.A.
Fundamenta Mathematicae, Tome 177 (2003) no. 2, pp. 175-192 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Two sets of reals are Borel equivalent if one is the Borel pre-image of the other, and a Borel–Wadge degree is a collection of pairwise Borel equivalent subsets of ${\mathbb R}$. In this note we investigate the structure of Borel–Wadge degrees under the assumption of the Axiom of Determinacy.
DOI : 10.4064/fm177-2-5
Keywords: sets reals borel equivalent borel pre image other borel wadge degree collection pairwise borel equivalent subsets mathbb note investigate structure borel wadge degrees under assumption axiom determinacy

Alessandro Andretta  1   ; Donald A. Martin  2

1 Dipartimento di Matematica Università di Torino via Carlo Alberto 10 10123 Torino, Italy
2 Department of Mathematics University of California at Los Angeles Los Angeles, CA 90095-1555, U.S.A. 
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Alessandro Andretta; Donald A. Martin. Borel–Wadge degrees. Fundamenta Mathematicae, Tome 177 (2003) no. 2, pp. 175-192. doi: 10.4064/fm177-2-5

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