### Generalized Étale Cohomology Theories, by J. F. Jardine

A generalized étale cohomology theory is a cohomology theory which
is represented by a presheaf of spectra on some étale site. Étale
K-theory is the most prominent example.

This monograph gives modern proofs of Thomason's étale cohomological
descent theorem for Bott periodic K-theory and the Nisnevich descent
theorem, and discusses the portions of the homotopy theory of
presheaves of spectra which are necessary to effect these proofs.
The presheaf-theoretic approach to the Lichtenbaum-Quillen conjecture
is also discussed.

Other items of particular interest appearing here include an
elementary description of the theory of smash products of presheaves
of spectra, and a thorough discussion of generalized Galois cohomology
theories arising from the homotopy theory of presheaves of spectra on
the site of finite discrete G-sets for an arbitrary profinite group G.

This book is scheduled to
appear some time in February, 1997. Here's the reference:

J.F. Jardine, *Generalized Étale Cohomology Theories*,
Progress in Math., Vol. 146, Birkhauser, Boston-Basel-Berlin, 1997.

The files for the book have been removed from this server.
They comprised a version of
the manuscript that was completed in late 1993; the published version
has been substantially revised.

J. F. Jardine <jardine@jardine.math.uwo.ca>