Publications of John R. Steel
- J. R. Steel, Descending sequences of degrees,
J. Symbolic Logic 40 (1975), no. 1, 59-61
[JSTOR]
- J. R. Steel, On Vaught's conjecture,
Cabal Seminar 76-77 (Proc. Caltech-UCLA Logic Sem., 1976-77),
pp. 193-208, Lecture Notes in Math., 689, Springer, Berlin, 1978
[SpringerLink]
- J. R. Steel,
Forcing with tagged trees,
Ann. Math. Logic 15 (1978), no. 1, 55-74
[ScienceDirect]
- J. R. Steel, A note on analytic sets,
Proc. Amer. Math. Soc. 80 (1980), no. 4, 655-657
[JSTOR]
- J. R. Steel, Analytic sets and Borel isomorphisms,
Fund. Math. 108 (1980), no. 2, 83-88
[ICM]
- J. R. Steel, Determinateness and the separation property,
J. Symbolic Logic 46 (1981), no. 1, 41-44
[JSTOR]
- A. S. Kechris, R. M. Solovay and J. R. Steel,
The axiom of determinacy and the prewellordering property,
Cabal Seminar 77-79 (Proc. Caltech-UCLA Logic Sem., 1977-79),
pp. 101-125, Lecture Notes in Math., 839, Springer, Berlin-New York, 1981
[SpringerLink]
- J. R. Steel, Closure properties of pointclasses,
Cabal Seminar 77-79 (Proc. Caltech-UCLA Logic Sem., 1977-79),
pp. 147-163, Lecture Notes in Math., 839, Springer, Berlin-New York, 1981
[SpringerLink]
- J. R. Steel and R. Van Wesep,
Two consequences of determinacy consistent with choice,
Trans. Amer. Math. Soc. 272 (1982), no. 1, 67-85
[JSTOR]
- D. A. Martin, Y. N. Moschovakis and J. R. Steel,
The extent of definable scales,
Bull. Amer. Math. Soc. (N.S.) 6 (1982), no. 3, 435-440
[AMS]
- J. R. Steel, Determinacy in the Mitchell models,
Ann. Math. Logic 22 (1982), no. 2, 109-125
[ScienceDirect]
- J. R. Steel, A classification of jump operators,
J. Symbolic Logic 47 (1982), no. 2, 347-358
[JSTOR]
- J. R. Steel,
Scales on ∑11 sets,
Cabal seminar 79-81, pp. 72-76,
Lecture Notes in Math., 1019, Springer, Berlin, 1983
[SpringerLink]
- D. A. Martin and J. R. Steel,
The extent of scales in L(R),
Cabal seminar 79-81, pp. 86-96,
Lecture Notes in Math., 1019, Springer, Berlin, 1983
[SpringerLink]
- J. R. Steel, Scales in L(R),
Cabal seminar 79-81, pp. 107-156,
Lecture Notes in Math., 1019, Springer, Berlin, 1983
[SpringerLink]
- F. van Engelen, A. W. Miller and J. R. Steel,
Rigid Borel sets and better quasi-order theory,
Logic and combinatorics (Arcata, Calif., 1985), pp. 199-222,
Contemp. Math., 65, Amer. Math. Soc., Providence, RI, 1987
- D. A. Martin and J. R. Steel, Projective determinacy,
Proc. Nat. Acad. Sci. U.S.A. 85 (1988), no. 18, 6582-6586
[PNAS]
- T. A. Slaman and J. R. Steel,
Definable functions on degrees,
Cabal Seminar 81-85, pp. 37-55, Lecture Notes in Math., 1333, Springer, Berlin, 1988
[SpringerLink]
- J. R. Steel, Long games,
Cabal Seminar 81-85, pp. 56-97, Lecture Notes in Math., 1333, Springer, Berlin, 1988
[SpringerLink]
- D. A. Martin and J. R. Steel,
A proof of projective determinacy,
J. Amer. Math. Soc. 2 (1989), no. 1, 71-125
[JSTOR]
- T. A. Slaman and J. R. Steel,
Complementation in the Turing degrees,
J. Symbolic Logic 54 (1989), no. 1, 160-176
[JSTOR]
- J. R. Steel,
The well-foundedness of the Mitchell order,
J. Symbolic Logic 58 (1993), no. 3, 931-940
[JSTOR]
- J. R. Steel,
Inner models with many Woodin cardinals,
Ann. Pure Appl. Logic 65 (1993), no. 2, 185-209
[ScienceDirect]
- D. A. Martin and J. R. Steel,
Iteration trees, J. Amer. Math. Soc. 7 (1994), no. 1, 1-73
[JSTOR]
- W. J. Mitchell and J. R. Steel,
Fine structure and iteration trees,
Lecture Notes in Logic, 3, Springer-Verlag, Berlin, 1994
- J. R. Steel, HODL(R) is a core model below Θ,
Bull. Symbolic Logic 1 (1995), no. 1, 75-84
[JSTOR]
- J. R. Steel,
Projectively well-ordered inner models,
Ann. Pure Appl. Logic 74 (1995), no. 1, 77-104
[ScienceDirect]
- E. Schimmerling and J. R. Steel,
Fine structure for tame inner models,
J. Symbolic Logic 61 (1996), no. 2, 621-639
[Project Euclid]
-
J. R. Steel,
The core model iterability problem,
Lecture Notes in Logic, 8, Springer-Verlag, Berlin, 1996
- A. Andretta and J. R. Steel,
How to win some simple iteration games,
Ann. Pure Appl. Logic 83 (1997), no. 2, 103-164
[ScienceDirect]
- W. J. Mitchell, E. Schimmerling and J. R. Steel,
The covering lemma up to a Woodin cardinal,
Ann. Pure Appl. Logic 84 (1997), no. 2, 219-255
[ScienceDirect]
- J. R. Steel and P. D. Welch,
∑13 absoluteness and the second uniform
indiscernible,
Israel J. Math. 104 (1998), 157-190
[SpringerLink]
-
E. Schimmerling and J. R. Steel
The maximality of the core model,
Trans. Amer. Math. Soc. 351 (1999), no. 8, 3119-3141
[AMS]
-
B. Löwe and J. R. Steel,
An introduction to core model theory,
Sets and proofs (Leeds, 1997), pp. 103-157,
London Math. Soc. Lecture Note Ser., 258,
Cambridge Univ. Press, Cambridge, 1999
- I. Neeman and J. R. Steel,
A weak Dodd-Jensen lemma,
J. Symbolic Logic 64 (1999), no. 3, 1285-1294
[JSTOR]
- S. Feferman, H. M. Friedman, P. Maddy and J. R. Steel,
Does mathematics need new axioms?,
Bull. Symbolic Logic 6 (2000), no. 4, 401-446
[JSTOR]
- A. Andretta, I. Neeman and J. R. Steel,
The domestic levels of Kc are iterable,
Israel J. Math. 125 (2001), 157-201
[SpringerLink]
- R. D. Schindler, J. R. Steel and M. Zeman,
Deconstructing inner model theory,
J. Symbolic Logic 67 (2002), no. 2, 721-736
[Project Euclid]
- J. R. Steel, Core models with more Woodin cardinals
J. Symbolic Logic 67 (2002), no. 3, 1197-1226
[Project Euclid]
- J. R. Steel, Distinct iterable branches,
J. Symbolic Logic 70 (2005), no. 4, 1127-1136
[Project Euclid]
- J. R. Steel,
PFA implies ADL(R),
J. Symbolic Logic 70 (2005), no. 4, 1255-1296
[Project Euclid]
- J. R. Steel, Set theory,
Encyclopedia of Life Support Systems, UNESCO online encyclopedia
[EOLSS]
- I. Neeman and J. R. Steel, Counterexamples to the unique and
cofinal branches hypotheses,
J. Symbolic Logic 71 (2006), no. 3, 977-988
[Project Euclid]
- J. R. Steel, A stationary-tower-free proof of the derived model
theorem,
Advances in logic, pp. 1-8, Contemp. Math., 425, Amer. Math. Soc.,
Providence, RI, 2007
[AMS]
-
J. R. Steel, What is ... a Woodin cardinal?,
Notices Amer. Math. Soc. 54 (2007), no. 9, 1146-1147
[AMS]
-
J. R. Steel, Local Kc constructions,
J. Symbolic Logic 72 (2007), no. 3, 721-737
[Project Euclid]
-
J. R. Steel, Scales in K(R) at the end of a weak gap,
J. Symbolic Logic 73 (2008), no. 2, 369-390
[Project Euclid]
- J. R. Steel, Games and scales; Introduction to Part I,
Games, Scales, and Suslin cardinals;
The Cabal Seminar, Volume I, pp. 3-27,
Lecture Notes in Logic 31, Cambridge University Press, 2008
[Cambridge]
- J. R. Steel, Scales in K(R),
Games, Scales, and Suslin cardinals;
The Cabal Seminar, Volume I, pp. 176-208,
Lecture Notes in Logic 31, Cambridge University Press, 2008
[Cambridge]
- J. R. Steel, The length ω1 open game quantifier propogates scales,
Games, Scales, and Suslin cardinals;
The Cabal Seminar, Volume I, pp. 260-272,
Lecture Notes in Logic 31, Cambridge University Press, 2008
[Cambridge]
- D. A. Martin and J. R. Steel,
The tree of a Moschovakis scale is homogeneous,
Games, Scales, and Suslin cardinals;
The Cabal Seminar, Volume I, pp. 404-420,
Lecture Notes in Logic 31, Cambridge University Press, 2008
[Cambridge]
- J. R. Steel,
Derived models associated to mice
Computational Prospects of Infinity;
Part I: Tutorials,
Lecture Notes Series, Institute for Mathematical Sciences,
National University of Singapore, 14, World Scientific, 2008
[World Scientific]
- J. R. Steel,
An outline of inner model theory,
to appear in Handbook of Set Theory,
Springer-Verlag
- R. B. Jensen, E. Schimmerling, R. D. Schindler and J. R. Steel,
Stacking mice, to appear in J. Symbolic Logic
- R. D. Schindler and J. R. Steel,
The self-iterability of L[E], to appear in J. Symbolic Logic
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