On structure sets of manifold pairs

Details On structure sets of manifold pairs On structure sets of manifold pairs

2009-08-10

arxiv.org/abs/0908.1372v1

Homology, Homotopy and Applications 11:2 (2009), 195-222.

Mathematics

Algebraic Topology

Scientific paper

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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