Contents
Preface v
Ehrenfeucht-Mostowski Models in Abstract Elementary Classes
JOHN T. BALDWIN
1
Unsplit Families, Dominating Families, and Ultrafilters
ANDREAS BLASS
17
Several Proofs of PA-Unprovability
ANDREY BOVYKIN
29
Ultrafilter Semirings and Nonstandard Submodels of the Stone-Cech
Compactification of the Natural Numbers
MAURO Dr NASSO AND MARCO FORTI
45
Unitary Group Actions and Hilbertian Polish Metric Spaces
Su
GAo
53
Abstract Decomposition Theorem and Applications
RAMI GROSSBERG AND OLIVIER LESSMANN
73
A Dichotomy Theorem for Being Essentially Countable
GREG HJORTH
109
Mad Families are Small
TANELI HUUSKONEN AND Yr ZHANG
Random Logarithm and Homogeneity
TAP ANI H YTTINEN
Definability, Semidefinability, and Asymptotic Structure in Analysis
JOSE IOVINO
Dependence Relations in Non-Elementary Classes
ALEXEI S. KOLESNIKOV
An Introduction to Excellent Classes
OLIVIER LESSMANN
Ultrafilters and Nuclear Spaces
DANIAR MUSHTARI
Many Quotient Algebras of the Integers Modulo Co-Analytic Ideals
JURIS STEPRANS
iii
129
137
167
203
231
261
271
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