Homotopy Theory with Bornological Coarse Spaces is popular PDF and ePub book, written by Ulrich Bunke in 2020-09-03, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Homotopy Theory with Bornological Coarse Spaces can be Read Online from any device for your convenience.
Homotopy Theory with Bornological Coarse Spaces Book PDF Summary
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.
Detail Book of Homotopy Theory with Bornological Coarse Spaces PDF
- Author : Ulrich Bunke
- Release : 03 September 2020
- Publisher : Springer Nature
- ISBN : 9783030513351
- Genre : Mathematics
- Total Page : 248 pages
- Language : English
- PDF File Size : 19,7 Mb
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