English

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

Algebraic Topology 2016-05-06 v2

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).

Keywords

Cite

@article{arxiv.1402.4775,
  title  = {Higher homotopy excision and Blakers-Massey theorems for structured ring spectra},
  author = {Michael Ching and John E. Harper},
  journal= {arXiv preprint arXiv:1402.4775},
  year   = {2016}
}

Comments

To appear in Advances in Mathematics. Final journal version