Comparison of stratified-algebraic and topological K-theory

Autor:	Kucharz, Wojciech, Kurdyka, Krzysztof
Rok vydání:	2015
Předmět:	Mathematics - Algebraic Geometry 14P25 14F25 19A49 57R22
Druh dokumentu:	Working Paper
Popis:	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. Comment: arXiv admin note: text overlap with arXiv:1308.4376
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1511.04238 Zobrazit plný text záznamu View this record from Arxiv