Now showing items 1-4 of 4

  • A Cartan-Eilenberg approach to homotopical algebra 

    Pascual Gainza, Pere; Roig Martí, Agustín; Guillén Santos, Francisco; Navarro Aznar, Vicente (2008-09-01)
    Article
    Open Access
    In this paper we propose an approach to homotopical algebra where the basic ingredient is a category with two classes of distinguished morphisms: strong and weak equivalences. These data determine the cofibrant objects ...
  • A Cartan-Eilenberg approach to homotopical algebra 

    Guillén Santos, Francisco; Navarro Aznar, Vicente; Pascual Gainza, Pere; Roig Martí, Agustín (2010)
    Article
    Restricted access - publisher's policy
    In this paper we propose an approach to homotopical algebra w here the basic ingredient is a category with two classes of distinguished morphisms: s trong and weak equivalences. These data determine the cofibrant objects ...
  • Moduli spaces and formal operads 

    Guillén Santos, Francisco; Navarro, Vicenç (Navarro Aznar); Pascual Gainza, Pere; Roig Martí, Agustín (2003)
    Article
    Open Access
    Let Mg,l be the moduli space of stable algebraic curves of genus g with l marked points. With the operations which relate the different moduli spaces identifying marked points, the family (Mg,l)g,l is a modular operad ...
  • Monoidal functors, acyclic models and chain operads 

    Guillén Santos, Francisco; Navarro, Vicenç (Navarro Aznar); Pascual Gainza, Pere; Roig Martí, Agustín (2004)
    Article
    Open Access
    We prove that for a topological operad P the operad of oriented cubical chains, Cord ¤ (P), and the operad of singular chains, S¤(P), are weakly equivalent. As a consequence, Cord ¤ (P;Q) is formal if and only if S¤(P;Q) ...