A game for the Borel functions - Bibliography

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A game for the Borel functions

Semmes, B.T.

Publication date 2009

Link to publication

Citation for published version (APA):

Semmes, B. T. (2009). A game for the Borel functions. Institute for Logic, Language and Computation.

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Bibliography

[1] Andretta, Alessandro. Equivalence between Wadge and Lipschitz determi-nacy. Ann. Pure Appl. Logic 123 (2003), no. 1-3, 163–192.

[2] Andretta, Alessandro. More on Wadge Determinacy. Ann. Pure Appl. Logic 144 (2006), no. 1-3, 2–32.

[3] Andretta, Alessandro; Martin, Donald A. Borel-Wadge degrees. Fund. Math. 177 (2003), no. 2, 175–192.

[4] Duparc, Jacques. Wadge hierarchy and Veblen hierarchy. Part I: Borel sets of finite rank. J. Symb. Logic 66 (2001), no. 1, 56–86.

[5] Gale, David; Stewart, Frank M. Infinite games with perfect information. Annals of Mathematics 28 (1953), 245–266.

[6] Jayne, J. E.; Rogers, C. A. First level Borel functions and isomorphisms. J. Math. Pures Appl. (9) 61 (1982), no. 2, 177–205.

[7] Kanamori, Akihiro. The Higher Infinite, Second Edition. Springer Mono-graphs in Mathematics, 2003.

[8] Kechris, Alexander S. Classical Descriptive Set Theory, Grad. Texts in Math. 156, Springer, 1995.

[9] Moschovakis, Yiannis N. Descriptive Set Theory, North-Holland, 1980. [10] Louveau, Alain. Sur la g´en´eration des fonctions bor´eliennes fortement

affines. (French) [Generating Borel strongly affine functions] C. R. Acad. Sci. Paris Sr. I Math. 297 (1983), no. 8, 457–459.

[11] Semmes, Brian. Multitape games, Selected Papers from the 7th Augustus de Morgan Workshop, London (2007), 195–207.

60 Bibliography [12] Solecki, Slawomir. Decomposing Borel sets and functions and the structure of Baire class 1 functions. J. Amer. Math. Soc. 11 (1998), no. 3, 521–550. [13] Steel, John R. Determinateness and subsystems of analysis, Ph.D. Thesis,

University of California, Berkeley, 1977.

[14] Van Wesep, Robert. Wadge degrees and descriptive set theory. Cabal Semi-nar 76–77 (Proc. Caltech-UCLA Logic Sem., 1976–77), pp. 151–170, Lecture Notes in Math., 689, Springer, Berlin, 1978.

[15] Wadge, William W. Reducibility and determinateness on the Baire space, PhD thesis, University of California, Berkeley, 1983.