2007/02/12 by Frank Bihler, Bihler, Frank
Mathematics · #18E35 #19D35 #55U15 #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AT #math.KT #msc:18E35 #msc:19D35 #msc:55U15
paper · pdf · doi:10.48550/arxiv.math/0702320
20 pages. See also http://www.institut.math.jussieu.fr/~bihler
arxiv created 2007/02/12 · openalex publication_date 2007/02/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this article is to introduce Vogel's localization theorem for classes of D-complexes: this generalization of Waldhausen's localization theorem is especially useful and powerful in that it gives an explicit and computable description of the local objects. Next we present an excision theorem for transverse classes. Finally, we apply these methods to deduce partial results on Vogel's [Conjecture] on a regular ring R (cf [Bih01]).