Computations of relative topological coHochschild homology (Q2168902)

In this paper, the author develops computational tools for studying topological coHochschild homology (coTHF). Let us recall that \textit{K. Hess} and \textit{B. Shipley} [J. Pure Appl. Algebra 225, No. 2, Article ID 106505, 26 p. (2021; Zbl 1454.13018)] introduced an invariant of coalgebra spectra. The author generalizes this work to construct a relative coBökstedt spectral sequence and to study coTHF of coalgebra spectra over any commutative ring spectrum. Then, the author computes the homotopy groups of relative topological coHochschild homology using algebraic structures.