Equivariant Stable Homotopy Theory Preamble: A polemical introduction to the stable category The equivariant stable category Change of universe smash products and change of groups Equivariant duality theory Equivariant transfer The Burnside ring and splittings in equivariant homology theory Twisted half smash products and extended powers Operad ring spectra The homological analysis of extended powers Thom spectra Equivariant Thom spectra.