Wadge hierarchy and Veblen hierarchy part I: Borel sets of finite rank

Journal of Symbolic Logic

Volumn 66, Issue 1, 2001, Pages 56-86

  Duparc, J ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035630647     PISSN: 00224812     EISSN: None     Source Type: Journal    
DOI: 10.2307/2694911     Document Type: Article

References (9)

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2. A. LOUVEAU, Some results in the Wadge hierarchy of Borel sets, Cabal seminar 79-81, Lecture Notes in Mathematics, vol. 1019, Springer Verlag, 1983, pp. 28-55.
3. A. LOUVEAU and J. ST. RAYMOND, The strength of Borel Wadge determinacy, Cabal seminar 81-85, Lecture Notes in Mathematics, vol. 1333, Springer Verlag, 1985, pp. 1-30.
4. _, Les propriétés de réduction et de norme pour les classes de Boréliens, Fundamenta Mathematicae, vol. 131 (1988), pp. 223-243.
5. D. A. MARTIN, Borel determinacy, Annals of Mathematics, vol. 102 (1975), pp. 363-371.
6. R. VAN WESEP, Wadge degrees and descriptive set theory, Cabal seminar 76-77, (Proceedings of the Caltech-UCLA logic seminar, 1976-77), Lecture Notes in Mathematics, vol. 689, Springer, Berlin, 1978, pp. 151-170.
7. O. VEBLEN, Continuous increasing fonctions of finite and transfinite ordinals, Transactions of the American Mathematical Society, vol. 9 (1908), pp. 280-292.
8. W. W. WADGE, Degrees of complexity of subsets of the Baire space, Notices of the American Mathematical Society, (1972), pp. A-714.
9. _, Reducibility and determinateness on the Baire space., Ph.D. thesis, Berkeley, 1984.