#### Volume 10, issue 3 (2010)

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 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
A stable range description of the space of link maps

### Thomas G Goodwillie and Brian A Munson

Algebraic & Geometric Topology 10 (2010) 1305–1315
##### Abstract

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