Sweedler Theory for (co)algebras and the bar-cobar constructions
Category Theory
2013-09-27 v1 Algebraic Topology
Rings and Algebras
Abstract
We prove that the category of dg-coalgebras is symmetric monoidal closed and that the category of dg-algebras is enriched, tensored, cotensored and strongly monoidal over that of coalgebras. We apply this formalism to reconstruct several known adjunctions, notably the bar-cobar adjunction.
Keywords
Cite
@article{arxiv.1309.6952,
title = {Sweedler Theory for (co)algebras and the bar-cobar constructions},
author = {Matthieu Anel and André Joyal},
journal= {arXiv preprint arXiv:1309.6952},
year = {2013}
}
Comments
260 pages, comments welcome