Titlebook: Homotopy Theory with Bornological Coarse Spaces; Ulrich Bunke,Alexander Engel Book 2020 The Editor(s) (if applicable) and The Author(s), u

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Ulrich Bunke,Alexander Engelautistics in medical and dental settings.Combines multiple p.This book provides a comprehensive overview of the experiences and challenges faced by autistics who also have co-occurring psychological conditions such as anxiety, depression, and gender dysphoria. The topic of autistics with co-occurrin

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Introduction,es, vol 31. American Mathematical Society, Providence, 2003) in connection with applications to the index theory of Dirac-type operators on complete Riemannian manifolds. To capture the index of these operators .-theoretically or numerically J. Roe furthermore constructed first examples of coarse ho

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Merging Coarse and Uniform Structurese structure called the hybrid structure (introduced by Wright (J Funct Anal 220(2):265–303, 2005)). This new structure will allow us to coarsely decompose simplicial complexes into cells and therefore to perform inductive arguments by dimension. Such arguments are at the core of proofs of the coarse

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Locally Finite Homology Theories and Coarsificationtematic explanation of the appearance of the limit over bounded subsets in (.). We will see that the constructions of Sect. . can be extended to a construction of coarse homology theories from locally finite homology theories.

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Coarse ,-Homology to index theory, geometric group theory and topology are one of the driving forces of development in coarse geometry. A central result is the coarse Baum–Connes conjecture which asserts that under certain conditions on a bornological coarse space the assembly map from the coarsification of the loca

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0075-8434 coarse geometry in their natural generality.Describes an ap.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

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