Homology, Homotopy and Applications
- Homology Homotopy Appl.
- Volume 11, Number 2 (2009), 195-222.
On structure sets of manifold pairs
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.
Homology Homotopy Appl., Volume 11, Number 2 (2009), 195-222.
First available in Project Euclid: 27 January 2011
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57R67: Surgery obstructions, Wall groups [See also 19J25] 19J25: Surgery obstructions [See also 57R67] 55T99: None of the above, but in this section 58A35: Stratified sets [See also 32S60] 18F25: Algebraic $K$-theory and L-theory [See also 11Exx, 11R70, 11S70, 12- XX, 13D15, 14Cxx, 16E20, 19-XX, 46L80, 57R65, 57R67]
Cencelj, Matija; Muranov, Yuri V.; Repovš, Dušan. On structure sets of manifold pairs. Homology Homotopy Appl. 11 (2009), no. 2, 195--222. https://projecteuclid.org/euclid.hha/1296138518