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arXiv · 1212.4420

Homotopical Intersection Theory, III: multi-relative intersection problems

John R. Klein·Bruce Williams
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Abstract

This paper extends some results of Hatcher and Quinn beyond the metastable range. We give a bordism theoretic obstruction to deforming a map between manifolds simultaneously off of a collection of pairwise disjoint submanifolds under the assumption that it can be deformed off of any proper subcollection in a homotopy coherent way. In a certain range of dimensions, ours is a complete obstruction to finding the desired deformation. We apply this machinery to embedding problems and to the study of linking phenomena.

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BibTeXRIS

John R. Klein, Bruce Williams. 2012-12-18. Homotopical Intersection Theory, III: multi-relative intersection problems. https://doi.org/10.2140/agt.2019.19.1079

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