Cofree coalgebras over operads

Details Cofree coalgebras over operads Cofree coalgebras over operads

2001-07-13

arxiv.org/abs/math/0107097v6

Mathematics

Algebraic Topology

A revised version of this paper will appear in the journal Topology and its Applications (communicated by Paul Goerss). The re

Scientific paper

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.

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