A stable range description of the space of link maps

摘要

We study the space Link(P, Q; N) of link maps: maps from P Ц Q to N such that the images of P and Q are disjoint. We identify the homotopy fiber of the inclusion Link(P, Q; N)→Map(P, N) × Map(Q, N) in a stable range, showing that it has a (2(n—p—q)-3)-connected map to the infinite loopspace of a certain Thom spectrum.