Comparison of stratified-algebraic and topological K-theory
Journal of Singularities, Tome 22 (2020), pp. 321-336
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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 X having the following property: There exists a positive integer r such that for any constant rank topological vector bundle ξ on X, the direct sum of r copies of ξ 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.
@article{10_5427_jsing_2020_22t,
author = {Wojciech Kucharz and Krzysztof Kurdyka},
title = {Comparison of stratified-algebraic and topological {K-theory}},
journal = {Journal of Singularities},
pages = {321--336},
publisher = {mathdoc},
volume = {22},
year = {2020},
doi = {10.5427/jsing.2020.22t},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.22t/}
}
TY - JOUR AU - Wojciech Kucharz AU - Krzysztof Kurdyka TI - Comparison of stratified-algebraic and topological K-theory JO - Journal of Singularities PY - 2020 SP - 321 EP - 336 VL - 22 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.22t/ DO - 10.5427/jsing.2020.22t ID - 10_5427_jsing_2020_22t ER -
%0 Journal Article %A Wojciech Kucharz %A Krzysztof Kurdyka %T Comparison of stratified-algebraic and topological K-theory %J Journal of Singularities %D 2020 %P 321-336 %V 22 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.22t/ %R 10.5427/jsing.2020.22t %F 10_5427_jsing_2020_22t
Wojciech Kucharz; Krzysztof Kurdyka. Comparison of stratified-algebraic and topological K-theory. Journal of Singularities, Tome 22 (2020), pp. 321-336. doi: 10.5427/jsing.2020.22t
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