Volume 10, issue 3 (2010)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

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(P,Q;N) of link maps: maps from P 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(npq)3)–connected map to the infinite loopspace of a certain Thom spectrum.

Keywords
link map, linking number
Mathematical Subject Classification 2000
Primary: 57Q45
Secondary: 58D15, 57R99
References
Publication
Received: 26 October 2009
Revised: 20 February 2010
Accepted: 14 May 2010
Published: 4 June 2010
Authors
Thomas G Goodwillie
Department of Mathematics
Brown University
Box 1917
Providence RI 02912-0001
Brian A Munson
Department of Mathematics
Wellesley College
106 Central Street
Wellesley MA 02481
http://palmer.wellesley.edu/~munson