On structure sets of manifold pairs
Algebraic Topology
2009-11-24 v1 Geometric Topology
Abstract
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.
Cite
@article{arxiv.0908.1372,
title = {On structure sets of manifold pairs},
author = {Matija Cencelj and Yurij V. Muranov and Dušan Repovš},
journal= {arXiv preprint arXiv:0908.1372},
year = {2009}
}