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Descent and the KH-assembly map

2012/09/18 by Paul D. Mitchener, Mitchener, Paul D.
Computer Science · Mathematics · Medicine · #Advanced Neuroimaging Techniques and Applications #Advanced Operator Algebra Research #FOS: Mathematics #K-Theory and Homology (math.KT) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1209.3979

openalex publication_date 2012/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we show that a general notion of descent in coarse geometry can be applied to the study of injectivity of the KH-assembly map. We also show that the coarse assembly map is injective in general for finite coarse CW-complexes.

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