Dévissage hermitian theory

In this paper, we prove Dévissage theorems for hermitian [Formula: see text] theory (or [Formula: see text] theory), analogous to Quillen’s Dévissage theorem for [Formula: see text]-theory. For abelian categories [Formula: see text] with duality, and appropriate abelian subcategories [Formula: see text], we prove Dévissage theorems for [Formula: see text] spaces, [Formula: see text]-spectra and [Formula: see text] bispectra. As a consequence, for regular local rings [Formula: see text] with [Formula: see text], we compute the [Formula: see text] groups [Formula: see text] ([Formula: see text], where [Formula: see text] represent the translation.