Continuous Group Actions on Profinite Spaces

نویسنده

  • GEREON QUICK
چکیده

For a profinite group, we construct a model structure on profinite spaces with a continuous action. We construct descent spectral sequences for the homotopy groups of the homotopy fixed point space and for the homology of homotopy orbit space which are strongly convergent for an arbitrary profinite group. Our main example is the Galois action on profinite étale topological types of schemes over a field.

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تاریخ انتشار 2009