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edited Nov 15 2009 at 19:28

Lavender Honey
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asked Oct 28 2009 at 18:10

Jonathan Wise
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What are the higher homotopy groups of Spec Z ?

The homotopy groups of the étale topos of a scheme were defined by Artin and Mazur. Are these known for Spec Z? Certainly π₁ is trivial because Spec Z has no unramified étale covers, but what is known about the higher homotopy groups?

homotopy-theory ag.algebraic-geometry topos-theory