CAT(0) Cube Complexes : An Introduction Paperback / softback
by Petra Schwer
Part of the Lecture Notes in Mathematics series
Paperback / softback
Description
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.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:188 pages, 42 Illustrations, color; 28 Illustrations, black and white; XII, 188 p. 70 illus., 42 ill
- Publisher:Springer International Publishing AG
- Publication Date:01/02/2024
- Category:
- ISBN:9783031436215
Information
-
Out of stock
- Format:Paperback / softback
- Pages:188 pages, 42 Illustrations, color; 28 Illustrations, black and white; XII, 188 p. 70 illus., 42 ill
- Publisher:Springer International Publishing AG
- Publication Date:01/02/2024
- Category:
- ISBN:9783031436215
