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arXiv · 2110.14261

Codimension 2 embeddings and finite localization of spaces

Pierre Vogel
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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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Pierre Vogel. 2021-10-27. Codimension 2 embeddings and finite localization of spaces. https://arxiv.org/abs/2110.14261

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