Alexander duality, gropes and link homotopy

Details Alexander duality, gropes and link homotopy Alexander duality, gropes and link homotopy

1997-05-28

arxiv.org/abs/math/9705222v3

Geom. Topol. 1 (1997), 51-69

Mathematics

Geometric Topology

19 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol1/paper5.abs.html

Scientific paper

We prove a geometric refinement of Alexander duality for certain 2-complexes, the so-called gropes, embedded into 4-space. This refinement can be roughly formulated as saying that 4-dimensional Alexander duality preserves the disjoint Dwyer filtration. In addition, we give new proofs and extended versions of two lemmas of Freedman and Lin which are of central importance in the A-B-slice problem, the main open problem in the classification theory of topological 4-manifolds. Our methods are group theoretical, rather than using Massey products and Milnor \mu-invariants as in the original proofs.

Affiliated with

Also associated with

No associations

Rating

Alexander duality, gropes and link homotopy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Alexander duality, gropes and link homotopy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Alexander duality, gropes and link homotopy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-78803