Geodesic
On structure sets of manifold pairs
Homology, homotopy, and applications, Tome 11 (2009) no. 2, pp. 195-222.

Voir la notice de l'article provenant de la source International Press of Boston

In this paper we systematically describe relations between various structure sets which arise naturally for pairs of compact topological manifolds with boundary. Our consideration is based on a deep analogy between the case of a compact manifold with boundary and the case of a closed manifold pair. This approach also gives a possibility to construct the obstruction groups for natural maps of various structure sets and to investigate their properties.
DOI : 10.4310/HHA.2009.v11.n2.a10
Classification : 18F25, 19J25, 55T99, 57R67, 58A35
Keywords: surgery on manifolds, surgery on manifold pairs, surgery obstruction groups, splitting obstruction groups, surgery exact sequence, structure sets, normal invariants 
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Matija Cencelj; Yuri V. Muranov; Dušan Repovš. On structure sets of manifold pairs. Homology, homotopy, and applications, Tome 11 (2009) no. 2, pp. 195-222. doi : 10.4310/HHA.2009.v11.n2.a10. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n2.a10/

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