▫$s$▫-Cobordism classification of 4-manifolds through the group of homotopy self-equivalences

The aim of this paper is to give an ▫$s$▫-cobordism classification of topological 4 manifolds in terms of the standard invariants using the group of homotopy self-equivalences. Hambleton and Kreck constructed a braid to study the group of homotopy self-equivalences of 4-manifolds. Using this braid together with the modified surgery theory of Kreck, we give an ▫$s$▫-cobordism classification for certain 4-manifolds with fundamental group ▫$pi$▫, such that cd ▫$pi le 2$▫