Abstract
The article provides a construction of an infinite-dimensional compact space of dimension 2 modulo p for any p. A characterization of compact spaces n-dimensional modulo p in terms of inverse spectrum of polyhedra is given. It is proved that compact spaces n-dimensional modulo p, and only these spaces, are images of n-dimensional compact spaces under maps acyclic in the sense of cohomology with coefficients in Zp. Bibliography: 18 titles.