The coalgebraic enrichment of algebras in higher categories

@article{Peroux2020TheCE,
  title={The coalgebraic enrichment of algebras in higher categories},
  author={Maximilien P'eroux},
  journal={arXiv: Algebraic Topology},
  year={2020}
}
3 Citations
Coalgebras in the Dwyer-Kan localization of a model category
We show that weak monoidal Quillen equivalences induce equivalences of symmetric monoidal $\infty$-categories with respect to the Dwyer-Kan localization of the symmetric monoidal model categories.
Rigidification of connective comodules
We show that we can rigidify homotopy coherent comodules in connective modules over the Eilenberg-Mac Lane spectrum of a field, or more generally of a finite product of fields $\mathbb{k}$. That is,
Spanier-Whitehead duality for topological coHochschild homology.
Following the Nikolaus-Scholze approach to THH, we extend the definition of topological coHochschild homology (coTHH) of Hess-Shipley to $\infty$-categories. After this, we prove that coTHH of what

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Coalgebras in the Dwyer-Kan localization of a model category
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Following the Nikolaus-Scholze approach to THH, we extend the definition of topological coHochschild homology (coTHH) of Hess-Shipley to $\infty$-categories. After this, we prove that coTHH of what
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