Ukrainian Mathematical Journal

, Volume 66, Issue 3, pp 352–370 | Cite as

Splitting Obstruction Groups Along one-Sided Submanifolds

  • Yu. V. Muranov
  • R. Jiménez

We construct new commutative diagrams of exact sequences which relate surgery and splitting obstruction groups for pairs of manifolds. The splitting and surgery obstruction groups are computed for pairs of manifolds and various geometric diagrams of groups corresponding to the problem of splitting along a one-sided submanifold of codimension 1.


Exact Sequence Fundamental Group Commutative Diagram Vertical Mapping Horizontal Mapping 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Yu. V. Muranov
    • 1
  • R. Jiménez
    • 2
  1. 1.Ya. Kupala Grodno State UniversityHrodnaBelarus
  2. 2.Mathematical Institute, National Autonomous University of Mexico, Oaxaca DivisionMexico CityMexico

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