The study of NIP theories has received much attention from model theorists in the last decade, fuelled by applications to o-minimal structures and valued fields. This book, the first to be written on NIP theories, is an introduction to the subject that will appeal to anyone inte…
Geometric set theory
by Zapletal, Jindřich, Larson, Paul B.
fromMathematical surveys and monographs
The virtual realm -- Turbulence -- Nested sequences of models -- Balanced Suslin forcing -- Simplicial complex forcings -- Ultrafilter forcings -- Other forcings -- Preserving cardinalities -- Uniformization -- Locally countable structures -- The Silver divide -- The arity divid…
This book introduces a new research direction in set theory: the study of models of set theory with respect to their extensional overlap or disagreement. In Part I, the method is applied to isolate new distinctions between Borel equivalence relations. Part II contains applicatio…