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Structure sets of triples of manifolds


The structure set of a given manifold fits into a surgery exact sequence, which is the main tool for classification of manifolds. In the present paper, we describe relations between various structure sets and groups of obstructions which naturally arise for triples of manifolds. The main results are given by commutative braids and diagrams of exact sequences.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 4, pp. 153–172, 2005.

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Muranov, Y.V., Jimenez, R. Structure sets of triples of manifolds. J Math Sci 144, 4468–4483 (2007).

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  • Manifold
  • Exact Sequence
  • Fundamental Group
  • Commutative Diagram
  • Spectrum Level