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CAT(0) cube complexesan introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	CAT(0) cube complexesby Petra Schwer.
Reminder of title:	an introduction /
Author:	Schwer, Petra.
Published:	Cham :Springer International Publishing :2023.
Description:	xii, 188 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Geometric group theory.
Online resource:	https://doi.org/10.1007/978-3-031-43622-2
ISBN:	9783031436222$q(electronic bk.)

CAT(0) cube complexesan introduction /
Schwer, Petra.

CAT(0) cube complexesan introduction /[electronic resource] :by Petra Schwer. - Cham :Springer International Publishing :2023. - xii, 188 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 23241617-9692 ;. - Lecture notes in mathematics ;2035..

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.

ISBN: 9783031436222$q(electronic bk.)

Standard No.: 10.1007/978-3-031-43622-2doiSubjects--Topical Terms:

490173
Geometric group theory.

LC Class. No.: QA183

Dewey Class. No.: 512.2

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490 1 $a Lecture notes in mathematics, $x 1617-9692 ; $v v. 2324
520 $a 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.
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