Petra Schwer
CAT(0) Cube Complexes: An Introduction
CAT(0) Cube Complexes: An Introduction
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- More about CAT(0) Cube Complexes: An Introduction
Format: Paperback / softback
Length: 188 pages
Publication date: 01 February 2024
Publisher: Springer International Publishing AG
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 Švarc–Milnor theorem to advanced material such as the cubulation of half-space systems and the Roller boundary, the construction of cube complexes associated with Coxeter groups, and the Tits alternative for cubical groups.
Being the first self-contained, comprehensive introduction to cube complexes this book serves as an entry point for researchers interested in the subject. The material is accessible to advanced undergraduate and graduate students. The text is illustrated with many figures and examples and comes with a large collection of exercises.
Weight: 384g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031436215
Edition number: 1st ed. 2023
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