2015/11/13 by Wojciech Kucharz, Krzysztof Kurdyka, Kucharz, Wojciech +1
Mathematics · #14F25 #14P25 #19A49 #57R22 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14F25 #msc:14P25 #msc:19A49 #msc:57R22
paper · pdf · doi:10.48550/arxiv.1511.04238
arXiv admin note: text overlap with arXiv:1308.4376
arxiv created 2015/11/13 · arxiv updated 2015/11/16
Stratified-algebraic vector bundles on real algebraic varieties have many desirable features of algebraic vector bundles but are more flexible. We give a characterization of the compact real algebraic varieties having the following property: There exists a positive integer r such that for any topological vector bundle E on X, the direct sum of r copies of E is isomorphic to a stratified-algebraic vector bundle. In particular, each compact real algebraic variety of dimension at most 8 has this property. Our results are expressed in terms of K-theory.