Goerss--Hopkins obstruction theory for $\mathrm{\infty }$-categories

Goerss–Hopkins obstruction theory is a powerful tool for constructing structured ring spectra from purely algebraic data. Using the formalism of model $\mathrm{\infty }$-categories, we provide a generalization that applies in an arbitrary presentably symmetric monoidal stable $\mathrm{\infty }$-category (such as that of equivariant spectra or of motivic spectra).