| 书目名称 | Homotopy Theory with Bornological Coarse Spaces |
| 编辑 | Ulrich Bunke,Alexander Engel |
| 视频video | |
| 概述 | The first book devoted to a new branch of research; there is currently no comparable book.Provides a quick overview of the basic concepts of coarse geometry in their natural generality.Describes an ap |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .Providing a new approach to assembly maps, this book develops the foundations of coarse homotopy using the language of infinity categories. It introduces the category of bornological coarse spaces and the notion of a coarse homology theory, and further constructs the universal coarse homology theory. Hybrid structures are introduced as a tool to connect large-scale with small-scale geometry, and are then employed to describe the coarse motives of bornological coarse spaces of finite asymptotic dimension. The remainder of the book is devoted to the construction of examples of coarse homology theories, including an account of the coarsification of locally finite homology theories and of coarse K-theory. Thereby it develops background material about locally finite homology theories and C*-categories.. .The book is intended for advanced graduate students and researchers who want to learn about the homotopy-theoretical aspects of large scale geometry via the theory of infinity categories.. |
| 出版日期 | Book 2020 |
| 关键词 | Assembly Maps; C*-categories; Coarse Geometry; Coarse Homology; K-theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-51335-1 |
| isbn_softcover | 978-3-030-51334-4 |
| isbn_ebook | 978-3-030-51335-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:28:34
