Higher homotopy excision and Blakers-Massey theorems for structured ring spectra

Abstract

Working in the context of symmetric spectra, we prove higher homotopy excision and higher Blakers-Massey theorems, and their duals, for algebras and left modules over operads in the category of modules over a commutative ring spectrum (e.g., structured ring spectra).

To appear in Advances in Mathematics. Final journal version