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arXiv · 1511.04238

Comparison of stratified-algebraic and topological K-theory

Wojciech Kucharz·Krzysztof Kurdyka
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Abstract

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.

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Wojciech Kucharz, Krzysztof Kurdyka. 2015-11-13. Comparison of stratified-algebraic and topological K-theory. https://arxiv.org/abs/1511.04238

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