English

Operads without coalgebras

Algebraic Topology 2020-07-08 v2 Category Theory

Abstract

We give an example of a non-trivial linear operad that only admits trivial coalgebras and give sufficient conditions ensuring that the cofree coalgebra functor be faithful.

Cite

@article{arxiv.1902.02551,
  title  = {Operads without coalgebras},
  author = {Brice Le Grignou and Damien Lejay},
  journal= {arXiv preprint arXiv:1902.02551},
  year   = {2020}
}

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Published version

R2 v1 2026-06-23T07:34:24.061Z