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arXiv · 1701.06144

The motivic Hopf map solves the homotopy limit problem for $K$-theory

Oliver Röndigs·Markus Spitzweck·Paul Arne Østvær
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Abstract

We solve affirmatively the homotopy limit problem for $K$-theory over fields of finite virtual cohomological dimension. Our solution employs the motivic slice filtration and the first motivic Hopf map.

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Oliver Röndigs, Markus Spitzweck, Paul Arne Østvær. 2017-01-22. The motivic Hopf map solves the homotopy limit problem for $K$-theory. https://arxiv.org/abs/1701.06144

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