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.
Publié le : 2009-05-15
Classification:
Surgery on manifolds,
surgery on manifold pairs,
surgery obstruction groups,
splitting obstruction groups,
surgery exact sequence,
structure sets,
normal invariants,
57R67,
19J25,
55T99,
58A35,
18F25
@article{1296138518,
author = {Cencelj, Matija and Muranov, Yuri V. and Repov\v s, Du\v san},
title = {On structure sets of manifold pairs},
journal = {Homology Homotopy Appl.},
volume = {11},
number = {1},
year = {2009},
pages = { 195-222},
language = {en},
url = {http://dml.mathdoc.fr/item/1296138518}
}
Cencelj, Matija; Muranov, Yuri V.; Repovš, Dušan. On structure sets of manifold pairs. Homology Homotopy Appl., Tome 11 (2009) no. 1, pp. 195-222. http://gdmltest.u-ga.fr/item/1296138518/