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Structure sets of triples of manifolds

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Abstract

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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Authors and Affiliations

  1. Department of Informatic and Management, Vitebsk Institute of Modern Knowledge, ul. Gor’kogo 42, 210004, Vitebsk, Belarus

    Yurij V. Muranov

  2. Instituto de Matematicas, UNAM, Avenida Universidad S/N, Col. Lomas de Chamilpa, 62210, Cuernavaca, Morelos, Mexico

    Rolando Jimenez

Authors
  1. Yurij V. Muranov
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  2. Rolando Jimenez
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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). https://doi.org/10.1007/s10958-007-0285-0

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