gr C, so that (2:X*)k+l = Xk, and (2:X*)o = O. The category of graded vector spaces is denoted by V. Homotopy Operations and Rational Homotopy Type 49 The category of chain complexes (over Q) will be denoted by dV, and that of double chain complexes by ddV. The differential of any differential graded object is written a (to distinguish it from the face maps di of a simplicial object).
Categorical Decomposition Techniques in Algebraic Topology: International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001 by Jaume Aguadé, Carles Broto, Laia Saumell (auth.), Gregory Arone, John Hubbuck, Ran Levi, Michael Weiss (eds.)