Ernest Schimmerling

Articles

E. Schimmerling, Combinatorial principles in the core model for one Woodin cardinal, Annals of Pure and Applied Logic 74 (1995) 153-201

W.J. Mitchell and E. Schimmerling, Weak covering without countable closure, Mathematical Research Letters 2 (1995) 595-609

E. Schimmerling and J.R. Steel, Fine structure for tame inner models, The Journal of Symbolic Logic 61 (1996) 621-639

W.J. Mitchell, E. Schimmerling, and J.R. Steel, The covering lemma up to a Woodin cardinal, Annals of Pure and Applied Logic 84 (1997) 219-255

E. Schimmerling, Combinatorial set theory and inner models, in C.A. Di Prisco, J.A. Larson, J. Bagaria and A.R.D. Mathias (eds.), Set theory, Techniques and Applications, Curacao 1995 and Barcelona 1996 Conferences, 207-212, Kluwer Acad. Publ., Dordrecht, 1998

E. Schimmerling and J.R. Steel, The maximality of the core model, Transactions of the American Mathematical Society 351 (1999) 3119-3141

E. Schimmerling, Covering properties of core models, in S.B. Cooper and J.K. Truss (eds.), Sets and Proofs, 281-299, London Math. Soc. Lecture Note Ser. 258, Cambridge Univ. Press, Cambridge, 1999

E. Schimmerling, A finite family weak square principle, The Journal of Symbolic Logic 64 (1999) 1087-1110

E. Schimmerling and M. Zeman, Square in core models, The Bulletin of Symbolic Logic 7 (2001) 305-314

E. Schimmerling and W.H. Woodin, The Jensen covering property, The Journal of Symbolic Logic 66 (2001) 1505-1523

E. Schimmerling, The ABC's of mice, Bulletin of Symbolic Logic 7 (2001) 485-503

E. Schimmerling, Woodin cardinals, Shelah cardinals, and the Mitchell-Steel core model, Proceedings of the American Mathematical Society 130 (2002) 3385-3391

J. Cummings and E. Schimmerling, Indexed squares, Israel Journal of Mathematics 131 (2002) 61-99

E. Schimmerling and B. Velickovic, Collapsing functions, Mathematical Logic Quarterly 50 (2004)

E. Schimmerling and M. Zeman, Characterization of □_κ in core models, Journal of Mathematical Logic 4 (2004) 1-72

J. Cummings and E. Schimmerling, Diamond and antichains, Archive for Mathematical Logic 44 (2005) 71-76

E. Schimmerling, Stationary reflection in extender models, Fundamenta Mathematicae 187 (2005) 161-169

E. Schimmerling, Coherent sequences and threads, Advances in Mathematics 216 (2007) 89-117

I. Neeman and E. Schimmerling, Hierarchies of forcing axioms, I, The Journal of Symbolic Logic 73 (2008) 343-362

E. Schimmerling and M. Zeman, Cardinal transfer properties in extender models, Annals of Pure and Applied Logic 154 (2008) 163-190

R. Jensen, E. Schimmerling, R. Schindler and J. Steel, Stacking mice, The Journal of Symbolic Logic 74 (2009) 315-335

J. Cummings, M. Foreman and E. Schimmerling, Organic and tight, Annals of Pure and Applied Logic 160 (2009) 22-32

E. Schimmerling, A core model toolbox and guide, in Handbook of Set Theory, Volume 3, Chapter 20, pp. 1685-1752, Springer-Verlag, M. Foreman and A. Kanamori (eds.)

J. Krueger and E. Schimmerling, An equiconsistency result on partial squares, Journal of Mathematical Logic 11 (2011) 29-59

I. Farah, P. McKenney and E. Schimmerling, Some Calkin algebras have outer automorphisms Archive for Mathematical Logic, 5-6 (2013) 517-524

J. Krueger and E. Schimmerling, Separating weak partial square principles, Annals of Pure and Applied Logic Volume 165, Issue 2, 2014, Pages 609-619

M. Mitchell and E. Schimmerling, Covering at limit cardinals of K, submitted (July, 2019)

Books

E. Schimmerling, A course on set theory, Cambridge University Press, 2011 [CUP] [Book webpage]

J. Cummings and E. Schimmerling (editors), Appalachian Set Theory 2006-2012, Cambridge University Press, London Mathematical Society Lecture Notes Series, volume 406 [AST webpage]

Other publications

E. Schimmerling, book review of "The core model iterability problem" by J. Steel, Journal of Symbolic Logic 63 (1998) 326-328

E. Schimmerling, book review of "Large cardinals and inner models" by M. Zeman, Bulletin of Symbolic Logic 9 (2003) 234-235
E. Schimmerling, A question about Suslin trees and the weak square hierarchy, Notre Dame Journal of Formal Logic 46 (2005) 373-374

E. Schimmerling, Wellorderings, ordinals and cardinals, Appendix A2 in Modern methods in the calculus of variations: L^p spaces, I. Fonseca and G. Leoni, Springer Monographs in Mathematics, 2007

E. Schimmerling, review of article "All automorphisms of the Calkin algebra are inner" by I. Farah, Bulletin of Symbolic Logic 17 (2011) 467-470