A stable range description of the space of link maps

作者：Goodwillie Thomas G^*; Munson Brian A

来源：Algebraic and Geometric Topology, 2010, 10(3): 1305-1315.

DOI：10.2140/agt.2010.10.1305

We study the space Link. P; Q; N) of link maps: maps from P coproduct 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) x 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.

• 出版日期2010