Geometry & Topology, Vol. 3 (1999) Paper no. 10, pages 235--252.

All two dimensional links are null homotopic

Arthur Bartels, Peter Teichner

Abstract. We show that any number of disjointly embedded 2-spheres in 4-space can be pulled apart by a link homotopy, ie, by a motion in which the 2-spheres stay disjoint but are allowed to self-intersect.

Keywords. Link homotopy, Milnor group, concordance

AMS subject classification. Primary: 57Q45. Secondary: 57Q60.

DOI: 10.2140/gt.1999.3.235

E-print: arXiv:math.GT/0004021

Submitted to GT on 21 May 1999. (Revised 27 August 1999.) Paper accepted 1 September 1999. Paper published 2 September 1999.

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Arthur Bartels, Peter Teichner
University of California in San Diego La Jolla, CA, 92093-0112, USA
Email: abartels@math.ucsd.edu, teichner@math.ucsd.edu

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