Geometric Set Theory Gillian Georgiou the authors document the island's

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Geometric Set Theory Gillian Georgiou the authors document the island'sThis 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 applications to independence results in Zermelo Fraenkel set theory without Axiom of Choice. The method makes it possible to classify in great detail various paradoxical objects obtained