A stable range description of the space of link maps

Mathematics – Algebraic Topology

Scientific paper

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10 pages

Scientific paper

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.

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