Christian Rosendal, "Coarse Geometry of Topological Groups "
English | ISBN: 110884247X | 2021 | 200 pages | PDF | 2 MB
This book provides a general framework for doing geometric group theory for many non-locally-compact topological transformation groups that arise in mathematical practice, including homeomorphism and diffeomorphism groups of manifolds, isometry groups of separable metric spaces and automorphism groups of countable structures. Using Roe's framework of coarse structures and spaces, the author defines a natural coarse geometric structure on all topological groups. This structure is accessible to investigation, especially in the case of Polish groups, and often has an explicit description, generalising well-known structures in familiar cases including finitely generated discrete groups, compactly generated locally compact groups and Banach spaces. In most cases, the coarse geometric structure is metrisable and may even be refined to a canonical quasimetric structure on the group. The book contains many worked examples and sufficient introductory material to be accessible to beginning graduate students. An appendix outlines several open problems in this young and rich theory.

English | 108 pages | PDF | 81.14 MB

English | 108 pages | PDF | 81.04 MB

Improve Your Coarse Fishing - December 2021
English | 110 Pages | PDF | 106.82 MB

Improve Your Coarse Fishing - April 2021
Size:104.04 MB | pdf

Blocks, Towards Energy-efficient, Coarse-grained Reconfigurable Architectures
English | 2022 | ISBN: 3030797732 | 225 Pages | PDF | 45 MB
This book describes a new, coarse-grained reconfigurable architecture (CGRA), called Blocks, and puts it in the context of computer architectures, and in particular of other CGRAs. The book starts with an extensive evaluation of historic and existing CGRAs and their strengths and weaknesses. This also leads to a better understanding and new definition of what distinguishes CGRAs from other architectural approaches.