English

A stable range description of the space of link maps

Algebraic Topology 2014-10-01 v1

Abstract

We study the space of link maps, which are smooth maps from the disjoint union of manifolds P and Q to a manifold N such that the images of P and Q are disjoint. We give a range of dimensions, interpreted as the connectivity of a certain map, in which the cobordism class of the "linking manifold" is enough to distinguish the homotopy class of one link map from another.

Keywords

Cite

@article{arxiv.0910.3561,
  title  = {A stable range description of the space of link maps},
  author = {Thomas G. Goodwillie and Brian A. Munson},
  journal= {arXiv preprint arXiv:0910.3561},
  year   = {2014}
}

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10 pages