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arXiv · 1309.6952

Sweedler Theory for (co)algebras and the bar-cobar constructions

Matthieu Anel·André Joyal
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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.

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Matthieu Anel, André Joyal. 2013-09-26. Sweedler Theory for (co)algebras and the bar-cobar constructions. https://arxiv.org/abs/1309.6952

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