Titlebook: CAT(0) Cube Complexes; An Introduction Petra Schwer Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to S

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0075-8434 erested 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..978-3-031-43621-5978-3-031-43622-2Series ISSN 0075-8434 Series E-ISSN 1617-9692

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0075-8434 ics.Suitable for use in a graduate course or for independentIn 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..

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Jan Per Bethge,Nora Steurer,Marcus Tschernerf a group, are directly constructed from the group itself. This first chapter of the book contains a concise introduction to metric spaces and collects the prerequisites for the main body of the book. Cayley graphs are constructed and their main properties are listed and illustrated with examples.

wreathe

https://doi.org/10.1007/978-3-531-93091-6e. The main purpose of this chapter is to introduce the notion of a . space and to prove some of their properties, such as the existence of projections onto convex subsets or the Bruhat-Tits fixed point theorem.

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Non-positive Curvature,e. The main purpose of this chapter is to introduce the notion of a . space and to prove some of their properties, such as the existence of projections onto convex subsets or the Bruhat-Tits fixed point theorem.

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Nachhaltigkeit in der Gesundheitsvorsorgeract half-space system as introduced in Sect. .. The construction of the half-space system provided in this chapter is based on work of Niblo and Reeves. We give a partially new proof of their main result which is more straightforward and shorter.