Preserving $Z$-sets by Dranishnikov's resolution

S. M. Ageev, M. Cencelj, D. Repovš

We prove that Dranishnikov's $k$-dimensional resolution $d_k:{\mu }^k\to Q$ is a UV${}^{n-1}$-divider of Chigogidze's $k$-dimensional resolution $c_k$. This fact implies that $d_k^{…