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fibre sequence

Journal of K-Theory (1)

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Rationally trivial torsors in -homotopy theory
Matthias Wendt
Journal:

Journal of K-Theory / Volume 7 / Issue 3 / June 2011

Published online by Cambridge University Press:

16 May 2011, pp. 541-572

Print publication:

June 2011
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In this paper, we show that rationally trivial torsors under split smooth linear algebraic groups induce fibre sequences in -homotopy theory. The results allow geometric proofs of stabilization results for unstable Karoubi-Villamayor K-theories and a description of the second -homotopy group of the projective line.