CAT(0) Cube Complexes (eBook, PDF)
Petra Schwer
eBook, PDF

CAT(0) Cube Complexes (eBook, PDF)

An Introduction

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In recent years cube complexes have become a cornerstone topic of geometric group theory and have proven to be a powerful tool in other areas, such as low dimensional topology, phylogenetic trees or in the context of optimization problems. This book covers a wide variety of algebraic and geometric properties of cube complexes and the groups acting on them. The content ranges from basic properties of metric spaces, notions of non-positive curvature, Gromov's link condition and the svarc-Milnor theorem to advanced material such as the cubulation of half-space systems and the Roller boundary, the...

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