On structure sets of manifold pairs

Matija Cencelj, Yu. V. Muranov, Dusan D. Repovs · Homology Homotopy and Applications · 2009

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.

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