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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 4, Pages 153–172 (Mi fpm851)  
Structure sets of triples of manifolds

Yu. V. Muranova, R. Jimenezb

a Vitebsk Institute of Modern Knowledge
b National Autonomous University of Mexico
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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.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 144, Issue 5, Pages 4468–4483
DOI: https://doi.org/10.1007/s10958-007-0285-0
Bibliographic databases:
UDC: 515.14
Language: Russian
Citation: Yu. V. Muranov, R. Jimenez, “Structure sets of triples of manifolds”, Fundam. Prikl. Mat., 11:4 (2005), 153–172; J. Math. Sci., 144:5 (2007), 4468–4483
Citation in format AMSBIB
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\by Yu.~V.~Muranov, R.~Jimenez
\paper Structure sets of triples of manifolds
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 4
\pages 153--172
\mathnet{http://mi.mathnet.ru/fpm851}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2192962}
\zmath{https://zbmath.org/?q=an:1154.57031}
\elib{https://elibrary.ru/item.asp?id=9084356}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 144
\issue 5
\pages 4468--4483
\crossref{https://doi.org/10.1007/s10958-007-0285-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547532810}
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