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標題: 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 [打印本頁]

作者: 轉(zhuǎn)變    時間: 2025-3-21 16:30
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作者: carbohydrate    時間: 2025-3-21 20:55

作者: aerobic    時間: 2025-3-22 01:30
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
作者: 絆住    時間: 2025-3-22 07:11

作者: FLOUR    時間: 2025-3-22 12:29
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..
作者: wreathe    時間: 2025-3-22 15:38
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.
作者: wreathe    時間: 2025-3-22 19:51
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.
作者: Talkative    時間: 2025-3-22 23:11

作者: 清醒    時間: 2025-3-23 03:08
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.
作者: stress-test    時間: 2025-3-23 06:35
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.
作者: 指耕作    時間: 2025-3-23 12:52
Nachhaltigkeit in der Gesundheitsvorsorgef of the virtual Haken conjecture. Finally, in Sect. 7.4, we include an application outside pure mathematics and explain the construction of the space of phylogenetic trees. A proof that this space is a . cube complex is provided.
作者: 彎彎曲曲    時間: 2025-3-23 14:44

作者: 障礙物    時間: 2025-3-23 21:09

作者: N斯巴達人    時間: 2025-3-24 00:16

作者: 粗糙濫制    時間: 2025-3-24 03:43
Introduction,lies, for instance, that . is biautomatic, satisfies rank rigidity, has finite asymptotic dimension and satisfies the Tits alternative. This introduction provides an overview of the material covered in this book.
作者: neurologist    時間: 2025-3-24 07:24
https://doi.org/10.1007/978-3-658-35272-1xes are discussed in the third section. The main result here shows that, in essence, non-positive curvature of a cube complex is decided on the 2-skeleton. Finally, in the last section, examples of cube complexes associated with right-angled Artin groups are constructed.
作者: 使顯得不重要    時間: 2025-3-24 13:38
,Cube Complexes and Gromov’s Link Condition,xes are discussed in the third section. The main result here shows that, in essence, non-positive curvature of a cube complex is decided on the 2-skeleton. Finally, in the last section, examples of cube complexes associated with right-angled Artin groups are constructed.
作者: 減弱不好    時間: 2025-3-24 18:00
Jan Per Bethge,Nora Steurer,Marcus Tschernerlies, for instance, that . is biautomatic, satisfies rank rigidity, has finite asymptotic dimension and satisfies the Tits alternative. This introduction provides an overview of the material covered in this book.
作者: 盡管    時間: 2025-3-24 20:13
Jan Per Bethge,Nora Steurer,Marcus Tschernerong such spaces, . cube complexes play a significant and successful role. Their metric and combinatorial structure give rise to several nice algebraic properties for groups acting geometrically, that is, properly and cocompactly, on them. The existence of such a cocompact cubulation of a group . imp
作者: 梯田    時間: 2025-3-25 02:17

作者: faultfinder    時間: 2025-3-25 04:57

作者: 光滑    時間: 2025-3-25 11:17
https://doi.org/10.1007/978-3-658-35272-1ion by introducing a larger class of spaces, called polyhedral cell complexes, in the first section. We then prove the link condition, which reduces the . property to checking a curvature condition on the links of vertices of the complexes. The second section contains the definition of a cube comple
作者: CIS    時間: 2025-3-25 14:12

作者: STALL    時間: 2025-3-25 19:27
Nachhaltigkeit in der Gesundheitsvorsorgeroup theory. In this chapter we quickly introduce Coxeter groups and some of their major properties. Moreover, we construct half-space systems for Coxeter groups. This allows us to apply Sageev’s cubulation method (see Chap. .) to this class of groups and obtain cube complexes on which the Coxeter g
作者: facilitate    時間: 2025-3-25 20:40

作者: 傻    時間: 2025-3-26 03:52

作者: 性滿足    時間: 2025-3-26 07:29
Lecture Notes in Mathematicshttp://image.papertrans.cn/c/image/220206.jpg
作者: FLAGR    時間: 2025-3-26 12:22

作者: 保留    時間: 2025-3-26 15:23

作者: 創(chuàng)造性    時間: 2025-3-26 20:44
CAT(0) Cube Complexes978-3-031-43622-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
作者: meretricious    時間: 2025-3-26 23:44
Introduction,ong such spaces, . cube complexes play a significant and successful role. Their metric and combinatorial structure give rise to several nice algebraic properties for groups acting geometrically, that is, properly and cocompactly, on them. The existence of such a cocompact cubulation of a group . imp
作者: Medley    時間: 2025-3-27 04:20

作者: Minatory    時間: 2025-3-27 06:20

作者: Palate    時間: 2025-3-27 10:26

作者: 放大    時間: 2025-3-27 13:49
Hyperplanes and Half-Spaces,inside 2-cubes and carry themselves the structure of a . cube complexes of a smaller dimension. Each hyperplane in a . cube complex divides the complex into two disjoint half-spaces. Surprisingly the combinatorics of the relative position of the hyperplanes and half-spaces completely determines the
作者: disparage    時間: 2025-3-27 19:59

作者: 平靜生活    時間: 2025-3-27 22:16
A Panoramic Tour,f actions on . cube complexes in analogy to similar results about actions on trees. To learn more about one of the many algebraic consequence for groups acting nicely on . cube complexes, we prove, in Sect. 7.2, that all such groups satisfy the Tits alternative. Admitting an action on a special cube
作者: 哥哥噴涌而出    時間: 2025-3-28 02:33
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作者: abduction    時間: 2025-3-28 06:56
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