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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 Par

Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and gra

Geometric group theory refers to the study of discrete groups using tools from topology, geometry, dynamics and analysis. The field is evolving very rapidly and

A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both

"This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that mo