Codimension 2 embeddings and finite localization of spaces
Algebraic Topology
2021-10-28 v1
Abstract
In order to classify concordance classes of codimension 2 embeddings in a manifold M, we need to determine the complement of such an embedding. These complements are spaces over M well defined up to some homology equivalence. We construct a localization functor corresponding to this class of homology equivalences and we give a characterization of local objects in terms of homotopy groups.
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Cite
@article{arxiv.2110.14261,
title = {Codimension 2 embeddings and finite localization of spaces},
author = {Pierre Vogel},
journal= {arXiv preprint arXiv:2110.14261},
year = {2021}
}
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39 pages