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K-Theory of Stratified Vector Bundles |
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| Authors: | Hans-Joachim Baues and Davide L Ferrario |
| Institution: | (1) Max-Planck-Institut für Mathematik, Vivatsgasse, 7, 53111 Bonn, Germany;(2) Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milan, Italy |
| 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. |
| Keywords: | topological K-theory of stratified spaces stratified vector bundles generalization of Atiyah-Hirzebruch topological K-theory |
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