Let be either or a field of characteristic . For each –good topological space , we define a collection of higher cohomology operations which, together with the cohomology algebra , suffice to determine up to –completion. We also provide a similar collection of higher cohomology operations which determine when two maps between –good spaces (inducing the same algebraic homomorphism ) are –equivalent.
"Higher cohomology operations and $R$–completion." Algebr. Geom. Topol. 18 (1) 247 - 312, 2018. https://doi.org/10.2140/agt.2018.18.247