Examples of cohomology manifolds which are not homologically locally   connected
  Bredon has constructed a 2-dimensional compact cohomology manifold which is not homologically locally connected, with respect to the singular homology. In the present paper we construct infinitely many such examples (which are in addition metrizable spaces) in all remaining dimensions $n \ge 3$. 
Umed H. Karimov and Du\v{s}an Repov\v{s}