Geodesic
Homotopy invariants of nonsimply connected manifolds.~II: Simple homotopy type
Izvestiya. Mathematics , Tome 5 (1971) no. 3, pp. 668-679

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The relation between the surgery obstruction group for a nonsimply connected manifold up to homotopy type and the surgery obstruction group up to simple homotopy equivalence is investigated. 
@article{IM2_1971_5_3_a8,
     author = {A. S. Mishchenko},
     title = {Homotopy invariants of nonsimply connected {manifolds.~II:} {Simple} homotopy type},
     journal = {Izvestiya. Mathematics },
     pages = {668--679},
     publisher = {mathdoc},
     volume = {5},
     number = {3},
     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_3_a8/}
}
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A. S. Mishchenko. Homotopy invariants of nonsimply connected manifolds.~II: Simple homotopy type. Izvestiya. Mathematics , Tome 5 (1971) no. 3, pp. 668-679. http://geodesic.mathdoc.fr/item/IM2_1971_5_3_a8/