Description: Homotopy Theory With Bornological Coarse Spaces, Paperback by Bunke, Ulrich; Engel, Alexander, ISBN 3030513343, ISBN-13 9783030513344, Brand New, Free shipping in the US 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 th 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. Th 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.
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Book Title: Homotopy Theory With Bornological Coarse Spaces
Number of Pages: VII, 245 Pages
Language: English
Publication Name: Homotopy Theory with Bornological Coarse Spaces
Publisher: Springer International Publishing A&G
Publication Year: 2020
Subject: Algebra / Abstract, Geometry / General, Topology
Item Weight: 16 Oz
Type: Textbook
Subject Area: Mathematics
Item Length: 9.3 in
Author: Ulrich Bunke, Alexander Engel
Series: Lecture Notes in Mathematics Ser.
Item Width: 6.1 in
Format: Trade Paperback
