Universal nowhere dense and meager sets in Menger manifolds

In each Menger manifold M we construct: a closed nowhere dense subset M-0 which is homeomorphic to M and is universal nowhere dense in the sense that for each nowhere dense set A subset of M there is a homeomorphism h of M such that h(A) subset of M-0; a meager F-sigma-set Sigma(0) subset of M which is universal meager in the sense that for each meager subset B subset of M there is a homeomorphism h of M such that h(B) subset of Sigma(0). Also we prove that any two universal meager F-sigma-sets in M are ambiently homeomorphic. (C) 2013 Elsevier B.V All rights reserved.