All two dimensional links are null homotopic

Arthur C Bartels; Peter Teichner

doi:10.2140/gt.1999.3.235

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Home > Journals > Geom. Topol. > Volume 3 > Issue 1 > Article

1999 All two dimensional links are null homotopic

Arthur C Bartels, Peter Teichner

Geom. Topol. 3(1): 235-252 (1999). DOI: 10.2140/gt.1999.3.235

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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.

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Arthur C Bartels. Peter Teichner. "All two dimensional links are null homotopic." Geom. Topol. 3 (1) 235 - 252, 1999. https://doi.org/10.2140/gt.1999.3.235