2001/07/13 by Justin R Smith, Justin R. Smith, Smith, Justin R.
Mathematics · #16W30 #18D50 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:16W30 #msc:18D50
paper · pdf · doi:10.48550/arxiv.math/0107097
A revised version of this paper will appear in the journal Topology and its Applications (communicated by Paul Goerss). The revision involves editorial changes to the manuscript
openalex publication_date 2001/07/13 · arxiv created 2003/02/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper explicitely constructs cofree coalgebras over operads in the category of DG-modules. Special cases are considered in which the general expression simplifies (such as the pointed, irreducible case). It is shown that the existence of an operad-action on a coalgebra implies a ``generalized coassociativity'' that facilitates the construction. Some areas of application are discussed.