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…
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…
Descriptive set theory is mainly concerned with studying subsets of the space of all countable binary sequences. In this paper we study the generalization where countable is replaced by uncountable. We explore properties of generalized Baire and Cantor spaces, equivalence relati…