Cofree coalgebras over operads
Algebraic Topology
2007-05-23 v6
Abstract
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.
Keywords
Cite
@article{arxiv.math/0107097,
title = {Cofree coalgebras over operads},
author = {Justin R. Smith},
journal= {arXiv preprint arXiv:math/0107097},
year = {2007}
}
Comments
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