On topological coHochschild homology and cotensor products
Abstract
In this work, we first study the cotensor product of comodules in the ∞-category ModR for a connected E∞-ring spectrum R. We then apply these results to analyze higher coalgebra structures of topological coHochschild homology (coTHH) and establish its Morita-Takeuchi invariance, which are precisely dual to the corresponding properties of topological Hochschild homology.
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