On the classification of oriented 3-plane bundles over a 6-complex

2012/09/11 by Benjamin Antieau, Ben Williams, Antieau, Benjamin +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Pharmacology, Toxicology and Pharmaceutics · #55R15 #Algebraic Topology (math.AT) #Alkaloids: synthesis and pharmacology #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Microtubule and mitosis dynamics #math.AT #msc:55R15

paper · pdf · doi:10.48550/arxiv.1209.2219

submitted

openalex publication_date 2012/09/11 · arxiv created 2013/08/30 · arxiv updated 2013/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short note, we complete the description of low-degree characteristic classes of oriented 3-plane bundles over a 6-complex. Our goal is to point out and correct an error in L. M. Woodward's 1982 paper "The classification of principal PU_n-bundles over a 4-complex."

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• Infinite CW-complexes, Brauer groups and phantom cohomology

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