Contemporary Mathematics 2005; 306 pp; softcover Volume: 380 ISBN10: 0821834746 ISBN13: 9780821834749 List Price: US$92 Member Price: US$73.60 Order Code: CONM/380
 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  EhrenfeuchtMostowski models in abstract elementary classes
 A. Blass  Unsplit families, dominating families, and ultrafilters
 A. Bovykin  Several proofs of PAunprovability
 M. Di Nasso and M. Forti  Ultrafilter semirings and nonstandard submodels of the StoneČech 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 nonelementary classes
 O. Lessmann  An introduction to excellent classes
 D. Mushtari  Ultrafilters and nuclear spaces
 J. Steprāns  Many quotient algebras of the integers modulo coanalytic ideals
 V. Tolstykh  What does the automorphism group of a free abelian group \(A\) know about \(A\)?
 B. Zilber  A categoricity theorem for quasiminimal excellent classes
