| We study the use and limitations of the equivariant method, a useful technique from topological combinatorics, in the context of the continuous Tverberg conjecture. We conclude that the method works for prime-power groups and show that it cannot be made to work in the absence of the prime-power hypothesis by an equivariant obstruction-theoretic argument. We also determine the homology of the deleted product as an Sq-module up to extension, which could be useful for inductive arguments. |
