- An Outline of Inner Model Theory, in ``Handbook of Set Theory'', to appear. postscript. or pdf.
- with Benedikt Loewe. An Introduction to Core Model Theory,
in
*Sets and Proofs, Logic Colloquium 1997*, volume 1, London Mathematical Society Lecture Notes 258. Cambridge University Press, Cambridge, 1999. postscript. - with Itay Neeman. A Weak Dodd-Jensen Lemma.
*Journal of Symbolic Logic*, vol. 64, Sept. 1999, pp. 1285-1294. postscript. - with Ernest Schimmerling. The Maximality of the
Core Model.
*Trans. Amer. Math. Soc.*, vol. 351, pp. 3119-3141, 1999. postscript. - with William Mitchell and Ernest Schimmerling. The
Weak Covering Lemma up to a Woodin Cardinal,
*Annals of Pure and Applied Logic*, vol. 84, pp. 219-255, 1997. postscript. - Mathematics needs new axioms, to appear in
*Bulletin of Symbolic Logic*. postscript. - with Alessandro Andretta and Itay Neeman. The domestic levels
of $K^c$ are iterable,
*Israel Journal of Mathematics*, to appear. postscript. - with Mitchell Rudominer. Inner models with wellorders in L(R), preliminary draft. postscript.
- with Ralf Schindler and Martin Zeman. Deconstructing inner model theory, Journal of Symbolic Logic, v. 67, June 2002, pp. 721-736. postscript.
- with Philip Welch. $ \Sigma_1^3$ correctness and the second
uniform indiscernible,
*Israel Journal of Mathematics*, {\bf 104 }, 1998, 157-190. postscript. - A Theorem of Woodin on Mouse Sets, unpublished notes. postscript. or pdf.
- Woodin's Analysis of HOD
^{L(R)}, unpublished notes. postscript. - Core models with more Woodin cardinals, Journal of Symbolic Logic, v. 67, Sept. 2002, pp. 1197-1226. postscript.
- The derived model theorem, unpublished notes postscript.
- with Oliver Deiser. Iterations with long extenders, unpublished notes postscript.
- with D.A. Martin. The tree of a Moschovakis scale is homogeneous, to appear in a re-issue of the Cabal volumes postscript.
- Scales in K(R), to appear in a re-issue of the Cabal volumes postscript. or pdf.
- PFA implies AD
^{L(R)}(Revised June 2005.) postscript. or pdf. - Scales at the end of a weak gap (revised July 2007), postcript or pdf.
- Local K-c-constructions, postcript.
- Set Theory, (expository article for
*Encyclopedia of living support systems*) postscript. - Distinct iterable branches, postscript.
- Games and Scales, (expository article for
*The New Cabal*) pdf. or postscript. - A stationary-tower-free proof of the derived model theorem, pdf. or postscript.
- The length $\omega_1$ open game quantifier propagates scales, pdf. or postscript.
- with Itay Neeman. Counterexamples to UBH and CBH,
*Journal of Symbolic Logic*, Dec. 2005. pdf. - with Ralf Schindler. The self-iterability of $L[\vec E]$, preliminary draft Feb. 2007. pdf.
- Derived models associated to mice, to appear, last revised July 15, 2007. pdf. or postscript.
- with Stuart Zoble. Determinacy from strong reflection. (Revised Nov. 2012.) pdf
- Godel's program. To appear in "Interpreting Godel", Juliette Kennedy editor, Cambridge University Press. pdf
- with Ronald Jensen. $K$ without the measurable, to appear in the Journal of Symbolic Logic. pdf
- with Nam Trang. $\mbox{{\sf AD}}^+$,derived models, and $\Sigma_1$ reflection. Notes for the 2010 Muenster workshop on hod mice and the core model induction. pdf
- with Itay Neeman. Equiconsistencies at subcompact cardinals. (October 2013 version.) To appear in AMS volume honoring Rich Laver. pdf
- with Itay Neeman. Plus-one premice. (Handwritten notes for June 2014 AIM workshop.) pdf
- with Itay Neeman. Fine structure for plus-one premice. (Handwritten notes, Part 1 pdf and Part 2 pdf
- Remarks on a paper of Sargsyan (Handwritten notes from April 2013, revised January 2015.) pdf
- HOD mice below ${\sf LST}^-$. (Handwritten notes from October 2013, in three parts.) Part 1 pdf , part 2 pdf , part 3 pdf
- Remarks on a hod mouse construction (Handwritten notes from August 2014. Essentially, part 4 of "HOD mice below ${\sf LST}^-$".) pdf
- Normalizing iteration trees and comparing iteration strategies. (Posted April 2016, corrected version posted August 2016. Revised versions posted August 2017 and Jan. 2018.) pdf
- Local HOD computation.(Handwritten notes July 2016.) pdf
- LSA from least branch hod pairs.(Handwritten notes June 2016.) pdf
- Hod pair capturing and short tree strategies. (Handwritten notes October 2016.) pdf

Return to Steel's
homepage

Last modified: Mon Aug 28 11:15:56 PDT 2000