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.

Readership

Graduate students and research mathematicians interested in mathematical logic.

Table of Contents

• J. T. Baldwin -- Ehrenfeucht-Mostowski models in abstract elementary classes
• A. Blass -- Unsplit families, dominating families, and ultrafilters
• A. Bovykin -- Several proofs of PA-unprovability
• M. Di Nasso and M. Forti -- Ultrafilter semirings and nonstandard submodels of the Stone-Čech compactification of the natural numbers
• S. Gao -- Unitary group actions and Hilbertian polish metric spaces
• R. Grossberg and O. Lessmann -- Abstract decomposition theorem and applications
• G. Hjorth -- A dichotomy theorem for being essentially countable
• T. Huuskonen and Y. Zhang -- Mad families are small
• T. Hyttinen -- Random logarithm and homogeneity
• J. Iovino -- Definability, semidefinability, and asymptotic structure in analysis
• A. Kolesnikov -- Dependence relations in non-elementary classes
• O. Lessmann -- An introduction to excellent classes
• D. Mushtari -- Ultrafilters and nuclear spaces
• J. Steprāns -- Many quotient algebras of the integers modulo co-analytic ideals
• V. Tolstykh -- What does the automorphism group of a free abelian group \(A\) know about \(A\)?
• B. Zilber -- A categoricity theorem for quasi-minimal excellent classes