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arxiv: math/0208186 · v1 · submitted 2002-08-23 · 🧮 math.KT

K-theory of stratified vector bundles

classification 🧮 math.KT
keywords stratifiedvectorbundlebundlesk-theoryspacesadmitsalgebraic
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We show that the Atiyah-Hirzebruch K-theory of spaces admits a canonical generalization for stratified spaces. For this we study algebraic constructions on stratified vector bundles. In particular the tangent bundle of a stratified manifold is such a stratified vector bundle.

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