Two conferences, Logic and Its Applications in Algebra and Geometry and Combinatorial Set Theory, Excellent Classes, and Schanuel Conjecture, were held at the University of Michigan (Ann Arbor). These events brought together model theorists and set theorists working in these areas. This volume is the result of those meetings. It is suitable for graduate students and researchers working in mathematical logic.
Ehrenfeucht-Mostowski models in abstract elementary classes by J. T. Baldwin Unsplit families, dominating families, and ultrafilters by A. Blass Several proofs of PA-unprovability by A. Bovykin Ultrafilter semirings and nonstandard submodels of the Stone-Cech compactification of the natural numbers by M. Di Nasso and M. Forti Unitary group actions and Hilbertian polish metric spaces by S. Gao Abstract decomposition theorem and applications by R. Grossberg and O. Lessmann A dichotomy theorem for being essentially countable by G. Hjorth Mad families are small by T. Huuskonen and Y. Zhang Random logarithm and homogeneity by T. Hyttinen Definability, semidefinability, and asymptotic structure in analysis by J. Iovino Dependence relations in non-elementary classes by A. Kolesnikov An introduction to excellent classes by O. Lessmann Ultrafilters and nuclear spaces by D. Mushtari Many quotient algebras of the integers modulo co-analytic ideals by J. Steprans What does the automorphism group of a free abelian group $A$ know about $A$? by V. Tolstykh A categoricity theorem for quasi-minimal excellent classes by B. Zilber.