| 期刊全稱 | An Invitation to Coarse Groups | | 影響因子2023 | Arielle Leitner,Federico Vigolo | | 視頻video | http://file.papertrans.cn/156/155634/155634.mp4 | | 發(fā)行地址 | Develops the subject from first principles.Presents new research directions, with open problems.Will become a standard reference on coarse groups | | 學(xué)科分類 | Lecture Notes in Mathematics | | 圖書封面 |  | | 影響因子 | This book lays the foundation for a theory of coarse groups: namely, sets with operations that satisfy the group axioms “up to uniformly bounded error”. These structures are the group objects in the category of coarse spaces, and arise naturally as approximate subgroups, or as coarse kernels..The first aim is to provide a standard entry-level introduction to coarse groups. Extra care has been taken to give a detailed, self-contained and accessible account of the theory. The second aim is to quickly bring the reader to the forefront of research. This is easily accomplished, as the subject is still young, and even basic questions remain unanswered...Reflecting its dual purpose, the book is divided into two parts. The first part covers the fundamentals of coarse groups and their actions. Here the theory of coarse homomorphisms, quotients and subgroups is developed, with proofs of coarse versions of the isomorphism theorems, and it is shown how coarse actions are related to fundamental aspects of geometric group theory. The second part, which is less self-contained, is an invitation to further research, where each thread leads to open questions of varying depth and difficulty. Among ot | | Pindex | Book 2023 |
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