Geodesic
Groups of obstructions to surgery and splitting for a manifold pair
Sbornik. Mathematics, Tome 188 (1997) no. 3, pp. 449-463 Cet article a éte moissonné depuis la source Math-Net.Ru

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The surgery obstruction groups $LP_*$ of manifold pairs are studied. An algebraic version of these groups for squares of antistructures of a special form equipped with decorations is considered. The squares of antistructures in question are natural generalizations of squares of fundamental groups that occur in the splitting problem for a one-sided submanifold of codimension 1 in the case when the fundamental group of the submanifold is mapped epimorphically onto the fundamental group of the manifold. New connections between the groups $LP_*$, the Novikov–Wall groups, and the splitting obstruction groups are established. 
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     title = {Groups of obstructions to surgery and splitting for a~manifold pair},
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}
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Yu. V. Muranov; D. Repovš. Groups of obstructions to surgery and splitting for a manifold pair. Sbornik. Mathematics, Tome 188 (1997) no. 3, pp. 449-463. http://geodesic.mathdoc.fr/item/SM_1997_188_3_a5/

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