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Given a non-compact Riemannian manifold M and a submanifold N of codimensionq, we will construct under certain assumptions on both M and N a wrong way mapin uniformly finite homology.  Using an equivariant version of the construction and applying it to universalcovers, we will construct wrong way maps in homology of groups.  As applications we discuss obstructions against positive scalar curvaturemetrics and against inessentialness.

Wrong way maps in uniformly finite homology and homology of groups