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Matematicheskie Zametki, 2001, Volume 69, Issue 1, Pages 52–73
DOI: https://doi.org/10.4213/mzm483 (Mi mzm483) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Splitting Obstruction Groups in Codimension 2

I. Maleshicha, Yu. V. Muranovb, D. Repovša

a University of Ljubljana
b Vitebsk State Technological University
Full-text PDF (288 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm483
Abstract: The splitting obstruction groups depend functorially on the square of fundamental groups. In the paper the problem of splitting along a submanifold of codimension two under some restrictions on the square of fundamental groups is considered. New exact sequences and commutative diagrams containing Wall groups, splitting obstruction groups, and surgery obstruction groups for manifold pairs are obtained. Examples of computation of splitting obstruction groups and natural maps are considered.
Received: 01.12.1999
English version:
Mathematical Notes, 2001, Volume 69, Issue 1, Pages 46–64
DOI: https://doi.org/10.1023/A:1002839311610
Bibliographic databases:
UDC: 513.83
Language: Russian
Citation: I. Maleshich, Yu. V. Muranov, D. Repovš, “Splitting Obstruction Groups in Codimension 2”, Mat. Zametki, 69:1 (2001), 52–73; Math. Notes, 69:1 (2001), 46–64
Citation in format AMSBIB
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\pages 52--73
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Linking options:
  • https://www.mathnet.ru/eng/mzm483
  • https://doi.org/10.4213/mzm483
  • https://www.mathnet.ru/eng/mzm/v69/i1/p52
    • This publication is cited in the following 4 articles:
    1. Yu. V. Muranov, R. Himenez, “Transfer maps for triples of manifolds”, Math. Notes, 79:3 (2006), 387–398  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. Yu. V. Muranov, R. Jimenez, “Structure sets of triples of manifolds”, J. Math. Sci., 144:5 (2007), 4468–4483  mathnet  crossref  mathscinet  zmath  elib
    3. Yu. V. Muranov, D. Repovš, F. Spaggiari, “Surgery on triples of manifolds”, Sb. Math., 194:8 (2003), 1251–1271  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    4. Ruini, B, “On the computation of L-groups and natural maps”, Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 72 (2002), 297  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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