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K-theory of stratified vector bundles

Hans-Joachim Baues·Davide L. Ferrario
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Abstract

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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Hans-Joachim Baues, Davide L. Ferrario. 2002-08-23. K-theory of stratified vector bundles. https://arxiv.org/abs/math/0208186

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