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CAT(0) cube complexes = an introduction /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	CAT(0) cube complexes/ by Petra Schwer.
其他題名:	an introduction /
作者:	Schwer, Petra.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xii, 188 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Geometric group theory. -
電子資源:	https://doi.org/10.1007/978-3-031-43622-2
ISBN:	9783031436222

CAT(0) cube complexes = an 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 ;v. 2324..

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

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

745240
Geometric group theory.

LC Class. No.: QA183

Dewey Class. No.: 512.2

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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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