Vanishing of all equivariant obstructions and the mapping degree

Sergey Avvakumov, Sergey Kudrya

Suppose that $n\ne p^k$ and $n\ne 2p^k$ for all $k$ and all primes $p$. We prove that for any Hausdorff compactum $X$ with a free action of the symmetric group ${\mathfrak{S}}_n$ th…