Homotopy theories of algebras over operads (Q5921664)

Homotopy theories over operads are defined and the corresponding spectral sequences for the homotopy groups are constructed. The calculations of the spectral sequences of the homotopy groups over the ``\(n\)-dimensional little cubes'' operads are produced. The paper is very useful to everyone who works in this field or who needs homotopy-theories of algebras over operads for any application. It is a most valuable contribution to make homotopy theories of algebras more accessible. The author has made a considerable effort to provide precision and complete details.