Structure sets of triples of manifolds |
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| Authors: | Yurij V Muranov Rolando Jimenez |
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| Institution: | (1) Department of Informatic and Management, Vitebsk Institute of Modern Knowledge, ul. Gor’kogo 42, 210004 Vitebsk, Belarus;(2) Instituto de Matematicas, UNAM, Avenida Universidad S/N, Col. Lomas de Chamilpa, 62210 Cuernavaca, Morelos, 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.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 4, pp. 153–172, 2005. |
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